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Finding the Fourth Proportional to 12,924.15, 17,823.20 and 10,280.31

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Solution

The fourth proportional to 12,924.15, 17,823.20 and 10,280.31 is: 14,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.15 : 17,823.20 = 10,280.31 : x
  2. Step 2: Convert to fraction form
    12,924.15/17,823.20 = 10,280.31/x
  3. Step 3: Cross multiply
    12,924.15x = 17,823.20 × 10,280.31
  4. Step 4: Simplify right side
    12,924.15x = 183,227,957.78
  5. Step 5: Solve for x
    x = 183,227,957.78/12,924.15
  6. Step 6: Final answer
    x = 14,177.18

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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.