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Finding the Fourth Proportional to 18,564.49, 25,614.53 and 10,498.31

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Solution

The fourth proportional to 18,564.49, 25,614.53 and 10,498.31 is: 14,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.49 : 25,614.53 = 10,498.31 : x
  2. Step 2: Convert to fraction form
    18,564.49/25,614.53 = 10,498.31/x
  3. Step 3: Cross multiply
    18,564.49x = 25,614.53 × 10,498.31
  4. Step 4: Simplify right side
    18,564.49x = 268,909,231.30
  5. Step 5: Solve for x
    x = 268,909,231.30/18,564.49
  6. Step 6: Final answer
    x = 14,485.14

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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.