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Finding the Fourth Proportional to 15,728.85, 23,593.82 and 5,339.25

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Solution

The fourth proportional to 15,728.85, 23,593.82 and 5,339.25 is: 8,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.85 : 23,593.82 = 5,339.25 : x
  2. Step 2: Convert to fraction form
    15,728.85/23,593.82 = 5,339.25/x
  3. Step 3: Cross multiply
    15,728.85x = 23,593.82 × 5,339.25
  4. Step 4: Simplify right side
    15,728.85x = 125,973,276.74
  5. Step 5: Solve for x
    x = 125,973,276.74/15,728.85
  6. Step 6: Final answer
    x = 8,009.06

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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.