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Finding the Fourth Proportional to 13,415.76, 20,115.36 and 6,397.92

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Solution

The fourth proportional to 13,415.76, 20,115.36 and 6,397.92 is: 9,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.76 : 20,115.36 = 6,397.92 : x
  2. Step 2: Convert to fraction form
    13,415.76/20,115.36 = 6,397.92/x
  3. Step 3: Cross multiply
    13,415.76x = 20,115.36 × 6,397.92
  4. Step 4: Simplify right side
    13,415.76x = 128,696,464.05
  5. Step 5: Solve for x
    x = 128,696,464.05/13,415.76
  6. Step 6: Final answer
    x = 9,592.93

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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.