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Finding the Fourth Proportional to 22,560, 31,128.48 and 14,601.12

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Solution

The fourth proportional to 22,560, 31,128.48 and 14,601.12 is: 20,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560 : 31,128.48 = 14,601.12 : x
  2. Step 2: Convert to fraction form
    22,560/31,128.48 = 14,601.12/x
  3. Step 3: Cross multiply
    22,560x = 31,128.48 × 14,601.12
  4. Step 4: Simplify right side
    22,560x = 454,510,671.90
  5. Step 5: Solve for x
    x = 454,510,671.90/22,560
  6. Step 6: Final answer
    x = 20,146.75

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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.