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Finding the Fourth Proportional to 24,177.77, 36,264.94 and 6,408.03

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Solution

The fourth proportional to 24,177.77, 36,264.94 and 6,408.03 is: 9,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.77 : 36,264.94 = 6,408.03 : x
  2. Step 2: Convert to fraction form
    24,177.77/36,264.94 = 6,408.03/x
  3. Step 3: Cross multiply
    24,177.77x = 36,264.94 × 6,408.03
  4. Step 4: Simplify right side
    24,177.77x = 232,386,943.44
  5. Step 5: Solve for x
    x = 232,386,943.44/24,177.77
  6. Step 6: Final answer
    x = 9,611.59

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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.