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Finding the Fourth Proportional to 23,827.92, 32,886.78 and 13,754.98

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Solution

The fourth proportional to 23,827.92, 32,886.78 and 13,754.98 is: 18,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.92 : 32,886.78 = 13,754.98 : x
  2. Step 2: Convert to fraction form
    23,827.92/32,886.78 = 13,754.98/x
  3. Step 3: Cross multiply
    23,827.92x = 32,886.78 × 13,754.98
  4. Step 4: Simplify right side
    23,827.92x = 452,357,001.16
  5. Step 5: Solve for x
    x = 452,357,001.16/23,827.92
  6. Step 6: Final answer
    x = 18,984.33

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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.