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Finding the Fourth Proportional to 28,417.61, 42,617.19 and 13,422.42

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Solution

The fourth proportional to 28,417.61, 42,617.19 and 13,422.42 is: 20,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,417.61 : 42,617.19 = 13,422.42 : x
  2. Step 2: Convert to fraction form
    28,417.61/42,617.19 = 13,422.42/x
  3. Step 3: Cross multiply
    28,417.61x = 42,617.19 × 13,422.42
  4. Step 4: Simplify right side
    28,417.61x = 572,025,873.73
  5. Step 5: Solve for x
    x = 572,025,873.73/28,417.61
  6. Step 6: Final answer
    x = 20,129.27

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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.