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Finding the Fourth Proportional to 14,871.12, 22,308.24 and 5,637.12

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Solution

The fourth proportional to 14,871.12, 22,308.24 and 5,637.12 is: 8,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.12 : 22,308.24 = 5,637.12 : x
  2. Step 2: Convert to fraction form
    14,871.12/22,308.24 = 5,637.12/x
  3. Step 3: Cross multiply
    14,871.12x = 22,308.24 × 5,637.12
  4. Step 4: Simplify right side
    14,871.12x = 125,754,225.87
  5. Step 5: Solve for x
    x = 125,754,225.87/14,871.12
  6. Step 6: Final answer
    x = 8,456.27

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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.