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Finding the Fourth Proportional to 15,298.53, 22,932.01 and 6,419.02

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Solution

The fourth proportional to 15,298.53, 22,932.01 and 6,419.02 is: 9,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.53 : 22,932.01 = 6,419.02 : x
  2. Step 2: Convert to fraction form
    15,298.53/22,932.01 = 6,419.02/x
  3. Step 3: Cross multiply
    15,298.53x = 22,932.01 × 6,419.02
  4. Step 4: Simplify right side
    15,298.53x = 147,201,046.88
  5. Step 5: Solve for x
    x = 147,201,046.88/15,298.53
  6. Step 6: Final answer
    x = 9,621.91

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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.