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Finding the Fourth Proportional to 13,545.75, 18,693.18 and 7,577.04

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Solution

The fourth proportional to 13,545.75, 18,693.18 and 7,577.04 is: 10,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.75 : 18,693.18 = 7,577.04 : x
  2. Step 2: Convert to fraction form
    13,545.75/18,693.18 = 7,577.04/x
  3. Step 3: Cross multiply
    13,545.75x = 18,693.18 × 7,577.04
  4. Step 4: Simplify right side
    13,545.75x = 141,638,972.59
  5. Step 5: Solve for x
    x = 141,638,972.59/13,545.75
  6. Step 6: Final answer
    x = 10,456.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.