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Finding the Fourth Proportional to 13,607.69, 20,402.64 and 5,715.24

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Solution

The fourth proportional to 13,607.69, 20,402.64 and 5,715.24 is: 8,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.69 : 20,402.64 = 5,715.24 : x
  2. Step 2: Convert to fraction form
    13,607.69/20,402.64 = 5,715.24/x
  3. Step 3: Cross multiply
    13,607.69x = 20,402.64 × 5,715.24
  4. Step 4: Simplify right side
    13,607.69x = 116,605,984.23
  5. Step 5: Solve for x
    x = 116,605,984.23/13,607.69
  6. Step 6: Final answer
    x = 8,569.13

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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.