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Finding the Fourth Proportional to 22,856.40, 34,284.60 and 11,192.40

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Solution

The fourth proportional to 22,856.40, 34,284.60 and 11,192.40 is: 16,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.40 : 34,284.60 = 11,192.40 : x
  2. Step 2: Convert to fraction form
    22,856.40/34,284.60 = 11,192.40/x
  3. Step 3: Cross multiply
    22,856.40x = 34,284.60 × 11,192.40
  4. Step 4: Simplify right side
    22,856.40x = 383,726,957.04
  5. Step 5: Solve for x
    x = 383,726,957.04/22,856.40
  6. Step 6: Final answer
    x = 16,788.60

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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.