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Finding the Fourth Proportional to 15,148.62, 20,904.84 and 8,434.08

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Solution

The fourth proportional to 15,148.62, 20,904.84 and 8,434.08 is: 11,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.62 : 20,904.84 = 8,434.08 : x
  2. Step 2: Convert to fraction form
    15,148.62/20,904.84 = 8,434.08/x
  3. Step 3: Cross multiply
    15,148.62x = 20,904.84 × 8,434.08
  4. Step 4: Simplify right side
    15,148.62x = 176,313,092.95
  5. Step 5: Solve for x
    x = 176,313,092.95/15,148.62
  6. Step 6: Final answer
    x = 11,638.89

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