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Finding the Fourth Proportional to 13,545.56, 18,693.71 and 7,577.63

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Solution

The fourth proportional to 13,545.56, 18,693.71 and 7,577.63 is: 10,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.56 : 18,693.71 = 7,577.63 : x
  2. Step 2: Convert to fraction form
    13,545.56/18,693.71 = 7,577.63/x
  3. Step 3: Cross multiply
    13,545.56x = 18,693.71 × 7,577.63
  4. Step 4: Simplify right side
    13,545.56x = 141,654,017.71
  5. Step 5: Solve for x
    x = 141,654,017.71/13,545.56
  6. Step 6: Final answer
    x = 10,457.60

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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.