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Finding the Fourth Proportional to 15,715.53, 21,665.09 and 12,500.64

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Solution

The fourth proportional to 15,715.53, 21,665.09 and 12,500.64 is: 17,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.53 : 21,665.09 = 12,500.64 : x
  2. Step 2: Convert to fraction form
    15,715.53/21,665.09 = 12,500.64/x
  3. Step 3: Cross multiply
    15,715.53x = 21,665.09 × 12,500.64
  4. Step 4: Simplify right side
    15,715.53x = 270,827,428.15
  5. Step 5: Solve for x
    x = 270,827,428.15/15,715.53
  6. Step 6: Final answer
    x = 17,233.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.