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Finding the Fourth Proportional to 23,238.54, 32,070.87 and 13,678.92

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Solution

The fourth proportional to 23,238.54, 32,070.87 and 13,678.92 is: 18,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.54 : 32,070.87 = 13,678.92 : x
  2. Step 2: Convert to fraction form
    23,238.54/32,070.87 = 13,678.92/x
  3. Step 3: Cross multiply
    23,238.54x = 32,070.87 × 13,678.92
  4. Step 4: Simplify right side
    23,238.54x = 438,694,865.06
  5. Step 5: Solve for x
    x = 438,694,865.06/23,238.54
  6. Step 6: Final answer
    x = 18,877.90

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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.