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Finding the Fourth Proportional to 15,429.92, 23,145 and 5,041.70

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Solution

The fourth proportional to 15,429.92, 23,145 and 5,041.70 is: 7,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429.92 : 23,145 = 5,041.70 : x
  2. Step 2: Convert to fraction form
    15,429.92/23,145 = 5,041.70/x
  3. Step 3: Cross multiply
    15,429.92x = 23,145 × 5,041.70
  4. Step 4: Simplify right side
    15,429.92x = 116,690,146.50
  5. Step 5: Solve for x
    x = 116,690,146.50/15,429.92
  6. Step 6: Final answer
    x = 7,562.59

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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.