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Finding the Fourth Proportional to 22,774.31, 34,114.28 and 13,386

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Solution

The fourth proportional to 22,774.31, 34,114.28 and 13,386 is: 20,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.31 : 34,114.28 = 13,386 : x
  2. Step 2: Convert to fraction form
    22,774.31/34,114.28 = 13,386/x
  3. Step 3: Cross multiply
    22,774.31x = 34,114.28 × 13,386
  4. Step 4: Simplify right side
    22,774.31x = 456,653,685.15
  5. Step 5: Solve for x
    x = 456,653,685.15/22,774.31
  6. Step 6: Final answer
    x = 20,051.27

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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.