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Finding the Fourth Proportional to 23,783.52, 32,821.14 and 13,711.86

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Solution

The fourth proportional to 23,783.52, 32,821.14 and 13,711.86 is: 18,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.52 : 32,821.14 = 13,711.86 : x
  2. Step 2: Convert to fraction form
    23,783.52/32,821.14 = 13,711.86/x
  3. Step 3: Cross multiply
    23,783.52x = 32,821.14 × 13,711.86
  4. Step 4: Simplify right side
    23,783.52x = 450,038,876.72
  5. Step 5: Solve for x
    x = 450,038,876.72/23,783.52
  6. Step 6: Final answer
    x = 18,922.30

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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.