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Finding the Fourth Proportional to 28,046.64, 42,077.28 and 10,516.80

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Solution

The fourth proportional to 28,046.64, 42,077.28 and 10,516.80 is: 15,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,046.64 : 42,077.28 = 10,516.80 : x
  2. Step 2: Convert to fraction form
    28,046.64/42,077.28 = 10,516.80/x
  3. Step 3: Cross multiply
    28,046.64x = 42,077.28 × 10,516.80
  4. Step 4: Simplify right side
    28,046.64x = 442,518,338.30
  5. Step 5: Solve for x
    x = 442,518,338.30/28,046.64
  6. Step 6: Final answer
    x = 15,777.94

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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.