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Finding the Fourth Proportional to 22,957.02, 31,671.54 and 14,003.82

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Solution

The fourth proportional to 22,957.02, 31,671.54 and 14,003.82 is: 19,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.02 : 31,671.54 = 14,003.82 : x
  2. Step 2: Convert to fraction form
    22,957.02/31,671.54 = 14,003.82/x
  3. Step 3: Cross multiply
    22,957.02x = 31,671.54 × 14,003.82
  4. Step 4: Simplify right side
    22,957.02x = 443,522,545.28
  5. Step 5: Solve for x
    x = 443,522,545.28/22,957.02
  6. Step 6: Final answer
    x = 19,319.69

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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.