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Finding the Fourth Proportional to 23,374.71, 32,255.82 and 14,422.86

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Solution

The fourth proportional to 23,374.71, 32,255.82 and 14,422.86 is: 19,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374.71 : 32,255.82 = 14,422.86 : x
  2. Step 2: Convert to fraction form
    23,374.71/32,255.82 = 14,422.86/x
  3. Step 3: Cross multiply
    23,374.71x = 32,255.82 × 14,422.86
  4. Step 4: Simplify right side
    23,374.71x = 465,221,176.05
  5. Step 5: Solve for x
    x = 465,221,176.05/23,374.71
  6. Step 6: Final answer
    x = 19,902.76

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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.