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Finding the Fourth Proportional to 13,097.57, 19,646.42 and 3,737.61

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Solution

The fourth proportional to 13,097.57, 19,646.42 and 3,737.61 is: 5,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.57 : 19,646.42 = 3,737.61 : x
  2. Step 2: Convert to fraction form
    13,097.57/19,646.42 = 3,737.61/x
  3. Step 3: Cross multiply
    13,097.57x = 19,646.42 × 3,737.61
  4. Step 4: Simplify right side
    13,097.57x = 73,430,637.17
  5. Step 5: Solve for x
    x = 73,430,637.17/13,097.57
  6. Step 6: Final answer
    x = 5,606.43

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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.