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Finding the Fourth Proportional to 27,865.52, 41,807.16 and 10,337.84

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Solution

The fourth proportional to 27,865.52, 41,807.16 and 10,337.84 is: 15,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.52 : 41,807.16 = 10,337.84 : x
  2. Step 2: Convert to fraction form
    27,865.52/41,807.16 = 10,337.84/x
  3. Step 3: Cross multiply
    27,865.52x = 41,807.16 × 10,337.84
  4. Step 4: Simplify right side
    27,865.52x = 432,195,730.93
  5. Step 5: Solve for x
    x = 432,195,730.93/27,865.52
  6. Step 6: Final answer
    x = 15,510.05

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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.