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Finding the Fourth Proportional to 27,871.86, 41,816.52 and 9,152.04

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Solution

The fourth proportional to 27,871.86, 41,816.52 and 9,152.04 is: 13,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.86 : 41,816.52 = 9,152.04 : x
  2. Step 2: Convert to fraction form
    27,871.86/41,816.52 = 9,152.04/x
  3. Step 3: Cross multiply
    27,871.86x = 41,816.52 × 9,152.04
  4. Step 4: Simplify right side
    27,871.86x = 382,706,463.70
  5. Step 5: Solve for x
    x = 382,706,463.70/27,871.86
  6. Step 6: Final answer
    x = 13,730.93

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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.