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Finding the Fourth Proportional to 15,833.64, 23,742.42 and 5,299.92

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Solution

The fourth proportional to 15,833.64, 23,742.42 and 5,299.92 is: 7,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.64 : 23,742.42 = 5,299.92 : x
  2. Step 2: Convert to fraction form
    15,833.64/23,742.42 = 5,299.92/x
  3. Step 3: Cross multiply
    15,833.64x = 23,742.42 × 5,299.92
  4. Step 4: Simplify right side
    15,833.64x = 125,832,926.61
  5. Step 5: Solve for x
    x = 125,832,926.61/15,833.64
  6. Step 6: Final answer
    x = 7,947.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.