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Finding the Fourth Proportional to 13,688.42, 20,532.76 and 7,841.02

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Solution

The fourth proportional to 13,688.42, 20,532.76 and 7,841.02 is: 11,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.42 : 20,532.76 = 7,841.02 : x
  2. Step 2: Convert to fraction form
    13,688.42/20,532.76 = 7,841.02/x
  3. Step 3: Cross multiply
    13,688.42x = 20,532.76 × 7,841.02
  4. Step 4: Simplify right side
    13,688.42x = 160,997,781.82
  5. Step 5: Solve for x
    x = 160,997,781.82/13,688.42
  6. Step 6: Final answer
    x = 11,761.60

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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.