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Finding the Fourth Proportional to 22,772.88, 31,411.44 and 14,825.52

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Solution

The fourth proportional to 22,772.88, 31,411.44 and 14,825.52 is: 20,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.88 : 31,411.44 = 14,825.52 : x
  2. Step 2: Convert to fraction form
    22,772.88/31,411.44 = 14,825.52/x
  3. Step 3: Cross multiply
    22,772.88x = 31,411.44 × 14,825.52
  4. Step 4: Simplify right side
    22,772.88x = 465,690,931.95
  5. Step 5: Solve for x
    x = 465,690,931.95/22,772.88
  6. Step 6: Final answer
    x = 20,449.36

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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.