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Finding the Fourth Proportional to 15,902.66, 23,854.86 and 4,809.08

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Solution

The fourth proportional to 15,902.66, 23,854.86 and 4,809.08 is: 7,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.66 : 23,854.86 = 4,809.08 : x
  2. Step 2: Convert to fraction form
    15,902.66/23,854.86 = 4,809.08/x
  3. Step 3: Cross multiply
    15,902.66x = 23,854.86 × 4,809.08
  4. Step 4: Simplify right side
    15,902.66x = 114,719,930.13
  5. Step 5: Solve for x
    x = 114,719,930.13/15,902.66
  6. Step 6: Final answer
    x = 7,213.88

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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.