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Finding the Fourth Proportional to 15,099.75, 20,838.65 and 8,725.77

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Solution

The fourth proportional to 15,099.75, 20,838.65 and 8,725.77 is: 12,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099.75 : 20,838.65 = 8,725.77 : x
  2. Step 2: Convert to fraction form
    15,099.75/20,838.65 = 8,725.77/x
  3. Step 3: Cross multiply
    15,099.75x = 20,838.65 × 8,725.77
  4. Step 4: Simplify right side
    15,099.75x = 181,833,223.38
  5. Step 5: Solve for x
    x = 181,833,223.38/15,099.75
  6. Step 6: Final answer
    x = 12,042.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.