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Finding the Fourth Proportional to 17,876.32, 24,669.30 and 10,801.42

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Solution

The fourth proportional to 17,876.32, 24,669.30 and 10,801.42 is: 14,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.32 : 24,669.30 = 10,801.42 : x
  2. Step 2: Convert to fraction form
    17,876.32/24,669.30 = 10,801.42/x
  3. Step 3: Cross multiply
    17,876.32x = 24,669.30 × 10,801.42
  4. Step 4: Simplify right side
    17,876.32x = 266,463,470.41
  5. Step 5: Solve for x
    x = 266,463,470.41/17,876.32
  6. Step 6: Final answer
    x = 14,905.95

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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.