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Finding the Fourth Proportional to 15,902.12, 21,945.12 and 8,829.20

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Solution

The fourth proportional to 15,902.12, 21,945.12 and 8,829.20 is: 12,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.12 : 21,945.12 = 8,829.20 : x
  2. Step 2: Convert to fraction form
    15,902.12/21,945.12 = 8,829.20/x
  3. Step 3: Cross multiply
    15,902.12x = 21,945.12 × 8,829.20
  4. Step 4: Simplify right side
    15,902.12x = 193,757,853.50
  5. Step 5: Solve for x
    x = 193,757,853.50/15,902.12
  6. Step 6: Final answer
    x = 12,184.40

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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.