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Finding the Fourth Proportional to 13,102.68, 19,654.17 and 5,605.22

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Solution

The fourth proportional to 13,102.68, 19,654.17 and 5,605.22 is: 8,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.68 : 19,654.17 = 5,605.22 : x
  2. Step 2: Convert to fraction form
    13,102.68/19,654.17 = 5,605.22/x
  3. Step 3: Cross multiply
    13,102.68x = 19,654.17 × 5,605.22
  4. Step 4: Simplify right side
    13,102.68x = 110,165,946.77
  5. Step 5: Solve for x
    x = 110,165,946.77/13,102.68
  6. Step 6: Final answer
    x = 8,407.89

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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.