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Finding the Fourth Proportional to 15,242.88, 22,867.44 and 6,475.68

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Solution

The fourth proportional to 15,242.88, 22,867.44 and 6,475.68 is: 9,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.88 : 22,867.44 = 6,475.68 : x
  2. Step 2: Convert to fraction form
    15,242.88/22,867.44 = 6,475.68/x
  3. Step 3: Cross multiply
    15,242.88x = 22,867.44 × 6,475.68
  4. Step 4: Simplify right side
    15,242.88x = 148,082,223.86
  5. Step 5: Solve for x
    x = 148,082,223.86/15,242.88
  6. Step 6: Final answer
    x = 9,714.85

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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.