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Finding the Fourth Proportional to 15,493.13, 21,380.05 and 8,419.53

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Solution

The fourth proportional to 15,493.13, 21,380.05 and 8,419.53 is: 11,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.13 : 21,380.05 = 8,419.53 : x
  2. Step 2: Convert to fraction form
    15,493.13/21,380.05 = 8,419.53/x
  3. Step 3: Cross multiply
    15,493.13x = 21,380.05 × 8,419.53
  4. Step 4: Simplify right side
    15,493.13x = 180,009,972.38
  5. Step 5: Solve for x
    x = 180,009,972.38/15,493.13
  6. Step 6: Final answer
    x = 11,618.70

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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.