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Finding the Fourth Proportional to 22,877.60, 34,316.40 and 20,458.40

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Solution

The fourth proportional to 22,877.60, 34,316.40 and 20,458.40 is: 30,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.60 : 34,316.40 = 20,458.40 : x
  2. Step 2: Convert to fraction form
    22,877.60/34,316.40 = 20,458.40/x
  3. Step 3: Cross multiply
    22,877.60x = 34,316.40 × 20,458.40
  4. Step 4: Simplify right side
    22,877.60x = 702,058,637.76
  5. Step 5: Solve for x
    x = 702,058,637.76/22,877.60
  6. Step 6: Final answer
    x = 30,687.60

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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.