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Finding the Fourth Proportional to 13,712.16, 20,564.16 and 7,134.76

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Solution

The fourth proportional to 13,712.16, 20,564.16 and 7,134.76 is: 10,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.16 : 20,564.16 = 7,134.76 : x
  2. Step 2: Convert to fraction form
    13,712.16/20,564.16 = 7,134.76/x
  3. Step 3: Cross multiply
    13,712.16x = 20,564.16 × 7,134.76
  4. Step 4: Simplify right side
    13,712.16x = 146,720,346.20
  5. Step 5: Solve for x
    x = 146,720,346.20/13,712.16
  6. Step 6: Final answer
    x = 10,700.02

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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.