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Finding the Fourth Proportional to 28,068.24, 42,086.88 and 11,424

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Solution

The fourth proportional to 28,068.24, 42,086.88 and 11,424 is: 17,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,068.24 : 42,086.88 = 11,424 : x
  2. Step 2: Convert to fraction form
    28,068.24/42,086.88 = 11,424/x
  3. Step 3: Cross multiply
    28,068.24x = 42,086.88 × 11,424
  4. Step 4: Simplify right side
    28,068.24x = 480,800,517.12
  5. Step 5: Solve for x
    x = 480,800,517.12/28,068.24
  6. Step 6: Final answer
    x = 17,129.70

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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.