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Finding the Fourth Proportional to 12,463.31, 18,722.10 and 7,535.27

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Solution

The fourth proportional to 12,463.31, 18,722.10 and 7,535.27 is: 11,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.31 : 18,722.10 = 7,535.27 : x
  2. Step 2: Convert to fraction form
    12,463.31/18,722.10 = 7,535.27/x
  3. Step 3: Cross multiply
    12,463.31x = 18,722.10 × 7,535.27
  4. Step 4: Simplify right side
    12,463.31x = 141,076,078.47
  5. Step 5: Solve for x
    x = 141,076,078.47/12,463.31
  6. Step 6: Final answer
    x = 11,319.31

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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.