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Finding the Fourth Proportional to 22,531.95, 33,727.05 and 15,470.64

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Solution

The fourth proportional to 22,531.95, 33,727.05 and 15,470.64 is: 23,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.95 : 33,727.05 = 15,470.64 : x
  2. Step 2: Convert to fraction form
    22,531.95/33,727.05 = 15,470.64/x
  3. Step 3: Cross multiply
    22,531.95x = 33,727.05 × 15,470.64
  4. Step 4: Simplify right side
    22,531.95x = 521,779,048.81
  5. Step 5: Solve for x
    x = 521,779,048.81/22,531.95
  6. Step 6: Final answer
    x = 23,157.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.