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Finding the Fourth Proportional to 13,545.07, 18,693.02 and 7,577.14

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Solution

The fourth proportional to 13,545.07, 18,693.02 and 7,577.14 is: 10,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.07 : 18,693.02 = 7,577.14 : x
  2. Step 2: Convert to fraction form
    13,545.07/18,693.02 = 7,577.14/x
  3. Step 3: Cross multiply
    13,545.07x = 18,693.02 × 7,577.14
  4. Step 4: Simplify right side
    13,545.07x = 141,639,498.21
  5. Step 5: Solve for x
    x = 141,639,498.21/13,545.07
  6. Step 6: Final answer
    x = 10,456.91

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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.