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Finding the Fourth Proportional to 15,398.98, 23,098.83 and 5,011.54

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Solution

The fourth proportional to 15,398.98, 23,098.83 and 5,011.54 is: 7,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.98 : 23,098.83 = 5,011.54 : x
  2. Step 2: Convert to fraction form
    15,398.98/23,098.83 = 5,011.54/x
  3. Step 3: Cross multiply
    15,398.98x = 23,098.83 × 5,011.54
  4. Step 4: Simplify right side
    15,398.98x = 115,760,710.50
  5. Step 5: Solve for x
    x = 115,760,710.50/15,398.98
  6. Step 6: Final answer
    x = 7,517.43

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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.