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Finding the Fourth Proportional to 24,377.12, 36,567.03 and 7,738.50

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Solution

The fourth proportional to 24,377.12, 36,567.03 and 7,738.50 is: 11,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.12 : 36,567.03 = 7,738.50 : x
  2. Step 2: Convert to fraction form
    24,377.12/36,567.03 = 7,738.50/x
  3. Step 3: Cross multiply
    24,377.12x = 36,567.03 × 7,738.50
  4. Step 4: Simplify right side
    24,377.12x = 282,973,961.66
  5. Step 5: Solve for x
    x = 282,973,961.66/24,377.12
  6. Step 6: Final answer
    x = 11,608.18

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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.