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Finding the Fourth Proportional to 24,335.64, 36,507.96 and 7,699.86

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Solution

The fourth proportional to 24,335.64, 36,507.96 and 7,699.86 is: 11,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.64 : 36,507.96 = 7,699.86 : x
  2. Step 2: Convert to fraction form
    24,335.64/36,507.96 = 7,699.86/x
  3. Step 3: Cross multiply
    24,335.64x = 36,507.96 × 7,699.86
  4. Step 4: Simplify right side
    24,335.64x = 281,105,959.85
  5. Step 5: Solve for x
    x = 281,105,959.85/24,335.64
  6. Step 6: Final answer
    x = 11,551.21

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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.