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Finding the Fourth Proportional to 15,902.92, 21,945.72 and 8,829.19

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Solution

The fourth proportional to 15,902.92, 21,945.72 and 8,829.19 is: 12,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.92 : 21,945.72 = 8,829.19 : x
  2. Step 2: Convert to fraction form
    15,902.92/21,945.72 = 8,829.19/x
  3. Step 3: Cross multiply
    15,902.92x = 21,945.72 × 8,829.19
  4. Step 4: Simplify right side
    15,902.92x = 193,762,931.57
  5. Step 5: Solve for x
    x = 193,762,931.57/15,902.92
  6. Step 6: Final answer
    x = 12,184.11

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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.