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Finding the Fourth Proportional to 15,098.31, 22,655.25 and 6,784.11

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Solution

The fourth proportional to 15,098.31, 22,655.25 and 6,784.11 is: 10,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.31 : 22,655.25 = 6,784.11 : x
  2. Step 2: Convert to fraction form
    15,098.31/22,655.25 = 6,784.11/x
  3. Step 3: Cross multiply
    15,098.31x = 22,655.25 × 6,784.11
  4. Step 4: Simplify right side
    15,098.31x = 153,695,708.08
  5. Step 5: Solve for x
    x = 153,695,708.08/15,098.31
  6. Step 6: Final answer
    x = 10,179.66

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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.