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Finding the Fourth Proportional to 22,780.16, 34,129.20 and 21,407.78

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Solution

The fourth proportional to 22,780.16, 34,129.20 and 21,407.78 is: 32,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780.16 : 34,129.20 = 21,407.78 : x
  2. Step 2: Convert to fraction form
    22,780.16/34,129.20 = 21,407.78/x
  3. Step 3: Cross multiply
    22,780.16x = 34,129.20 × 21,407.78
  4. Step 4: Simplify right side
    22,780.16x = 730,630,405.18
  5. Step 5: Solve for x
    x = 730,630,405.18/22,780.16
  6. Step 6: Final answer
    x = 32,073.10

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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.