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Finding the Fourth Proportional to 24,275.84, 36,414.23 and 6,745.41

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Solution

The fourth proportional to 24,275.84, 36,414.23 and 6,745.41 is: 10,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.84 : 36,414.23 = 6,745.41 : x
  2. Step 2: Convert to fraction form
    24,275.84/36,414.23 = 6,745.41/x
  3. Step 3: Cross multiply
    24,275.84x = 36,414.23 × 6,745.41
  4. Step 4: Simplify right side
    24,275.84x = 245,628,877.46
  5. Step 5: Solve for x
    x = 245,628,877.46/24,275.84
  6. Step 6: Final answer
    x = 10,118.25

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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.