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Finding the Fourth Proportional to 13,001.57, 19,503.59 and 3,641.61

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Solution

The fourth proportional to 13,001.57, 19,503.59 and 3,641.61 is: 5,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.57 : 19,503.59 = 3,641.61 : x
  2. Step 2: Convert to fraction form
    13,001.57/19,503.59 = 3,641.61/x
  3. Step 3: Cross multiply
    13,001.57x = 19,503.59 × 3,641.61
  4. Step 4: Simplify right side
    13,001.57x = 71,024,450.17
  5. Step 5: Solve for x
    x = 71,024,450.17/13,001.57
  6. Step 6: Final answer
    x = 5,462.76

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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.