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Finding the Fourth Proportional to 15,874.83, 23,807.14 and 5,342.00

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Solution

The fourth proportional to 15,874.83, 23,807.14 and 5,342.00 is: 8,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.83 : 23,807.14 = 5,342.00 : x
  2. Step 2: Convert to fraction form
    15,874.83/23,807.14 = 5,342.00/x
  3. Step 3: Cross multiply
    15,874.83x = 23,807.14 × 5,342.00
  4. Step 4: Simplify right side
    15,874.83x = 127,177,609.49
  5. Step 5: Solve for x
    x = 127,177,609.49/15,874.83
  6. Step 6: Final answer
    x = 8,011.27

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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.