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Finding the Fourth Proportional to 24,010.88, 36,016.52 and 8,428.50

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Solution

The fourth proportional to 24,010.88, 36,016.52 and 8,428.50 is: 12,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.88 : 36,016.52 = 8,428.50 : x
  2. Step 2: Convert to fraction form
    24,010.88/36,016.52 = 8,428.50/x
  3. Step 3: Cross multiply
    24,010.88x = 36,016.52 × 8,428.50
  4. Step 4: Simplify right side
    24,010.88x = 303,565,196.68
  5. Step 5: Solve for x
    x = 303,565,196.68/24,010.88
  6. Step 6: Final answer
    x = 12,642.82

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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.