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Finding the Fourth Proportional to 13,511.64, 20,253.69 and 7,655.88

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Solution

The fourth proportional to 13,511.64, 20,253.69 and 7,655.88 is: 11,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.64 : 20,253.69 = 7,655.88 : x
  2. Step 2: Convert to fraction form
    13,511.64/20,253.69 = 7,655.88/x
  3. Step 3: Cross multiply
    13,511.64x = 20,253.69 × 7,655.88
  4. Step 4: Simplify right side
    13,511.64x = 155,059,820.20
  5. Step 5: Solve for x
    x = 155,059,820.20/13,511.64
  6. Step 6: Final answer
    x = 11,476.02

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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.