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Finding the Fourth Proportional to 15,909.70, 23,857.35 and 7,140.10

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Solution

The fourth proportional to 15,909.70, 23,857.35 and 7,140.10 is: 10,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.70 : 23,857.35 = 7,140.10 : x
  2. Step 2: Convert to fraction form
    15,909.70/23,857.35 = 7,140.10/x
  3. Step 3: Cross multiply
    15,909.70x = 23,857.35 × 7,140.10
  4. Step 4: Simplify right side
    15,909.70x = 170,343,864.74
  5. Step 5: Solve for x
    x = 170,343,864.74/15,909.70
  6. Step 6: Final answer
    x = 10,706.92

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