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Finding the Fourth Proportional to 15,111.58, 22,669.80 and 6,349

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Solution

The fourth proportional to 15,111.58, 22,669.80 and 6,349 is: 9,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.58 : 22,669.80 = 6,349 : x
  2. Step 2: Convert to fraction form
    15,111.58/22,669.80 = 6,349/x
  3. Step 3: Cross multiply
    15,111.58x = 22,669.80 × 6,349
  4. Step 4: Simplify right side
    15,111.58x = 143,930,560.20
  5. Step 5: Solve for x
    x = 143,930,560.20/15,111.58
  6. Step 6: Final answer
    x = 9,524.52

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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.