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Finding the Fourth Proportional to 24,125.58, 36,182.84 and 6,596.78

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Solution

The fourth proportional to 24,125.58, 36,182.84 and 6,596.78 is: 9,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,125.58 : 36,182.84 = 6,596.78 : x
  2. Step 2: Convert to fraction form
    24,125.58/36,182.84 = 6,596.78/x
  3. Step 3: Cross multiply
    24,125.58x = 36,182.84 × 6,596.78
  4. Step 4: Simplify right side
    24,125.58x = 238,690,021.36
  5. Step 5: Solve for x
    x = 238,690,021.36/24,125.58
  6. Step 6: Final answer
    x = 9,893.65

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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.