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Finding the Fourth Proportional to 24,215.95, 36,326.01 and 6,685.78

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Solution

The fourth proportional to 24,215.95, 36,326.01 and 6,685.78 is: 10,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.95 : 36,326.01 = 6,685.78 : x
  2. Step 2: Convert to fraction form
    24,215.95/36,326.01 = 6,685.78/x
  3. Step 3: Cross multiply
    24,215.95x = 36,326.01 × 6,685.78
  4. Step 4: Simplify right side
    24,215.95x = 242,867,711.14
  5. Step 5: Solve for x
    x = 242,867,711.14/24,215.95
  6. Step 6: Final answer
    x = 10,029.25

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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.