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Finding the Fourth Proportional to 15,923.40, 23,885.10 and 7,175.40

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Solution

The fourth proportional to 15,923.40, 23,885.10 and 7,175.40 is: 10,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.40 : 23,885.10 = 7,175.40 : x
  2. Step 2: Convert to fraction form
    15,923.40/23,885.10 = 7,175.40/x
  3. Step 3: Cross multiply
    15,923.40x = 23,885.10 × 7,175.40
  4. Step 4: Simplify right side
    15,923.40x = 171,385,146.54
  5. Step 5: Solve for x
    x = 171,385,146.54/15,923.40
  6. Step 6: Final answer
    x = 10,763.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.