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Finding the Fourth Proportional to 23,506.40, 35,267.70 and 10,368.20

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Solution

The fourth proportional to 23,506.40, 35,267.70 and 10,368.20 is: 15,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.40 : 35,267.70 = 10,368.20 : x
  2. Step 2: Convert to fraction form
    23,506.40/35,267.70 = 10,368.20/x
  3. Step 3: Cross multiply
    23,506.40x = 35,267.70 × 10,368.20
  4. Step 4: Simplify right side
    23,506.40x = 365,662,567.14
  5. Step 5: Solve for x
    x = 365,662,567.14/23,506.40
  6. Step 6: Final answer
    x = 15,555.87

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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.