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Finding the Fourth Proportional to 10,515.66, 15,688.67 and 10,132.80

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Solution

The fourth proportional to 10,515.66, 15,688.67 and 10,132.80 is: 15,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.66 : 15,688.67 = 10,132.80 : x
  2. Step 2: Convert to fraction form
    10,515.66/15,688.67 = 10,132.80/x
  3. Step 3: Cross multiply
    10,515.66x = 15,688.67 × 10,132.80
  4. Step 4: Simplify right side
    10,515.66x = 158,970,155.38
  5. Step 5: Solve for x
    x = 158,970,155.38/10,515.66
  6. Step 6: Final answer
    x = 15,117.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.