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Finding the Fourth Proportional to 15,109.30, 22,656.17 and 6,782.18

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Solution

The fourth proportional to 15,109.30, 22,656.17 and 6,782.18 is: 10,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.30 : 22,656.17 = 6,782.18 : x
  2. Step 2: Convert to fraction form
    15,109.30/22,656.17 = 6,782.18/x
  3. Step 3: Cross multiply
    15,109.30x = 22,656.17 × 6,782.18
  4. Step 4: Simplify right side
    15,109.30x = 153,658,223.05
  5. Step 5: Solve for x
    x = 153,658,223.05/15,109.30
  6. Step 6: Final answer
    x = 10,169.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.