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Finding the Fourth Proportional to 23,237.60, 32,077.70 and 15,694.15

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Solution

The fourth proportional to 23,237.60, 32,077.70 and 15,694.15 is: 21,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,237.60 : 32,077.70 = 15,694.15 : x
  2. Step 2: Convert to fraction form
    23,237.60/32,077.70 = 15,694.15/x
  3. Step 3: Cross multiply
    23,237.60x = 32,077.70 × 15,694.15
  4. Step 4: Simplify right side
    23,237.60x = 503,432,374.93
  5. Step 5: Solve for x
    x = 503,432,374.93/23,237.60
  6. Step 6: Final answer
    x = 21,664.56

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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.