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Finding the Fourth Proportional to 24,438.84, 36,658.41 and 6,908.82

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Solution

The fourth proportional to 24,438.84, 36,658.41 and 6,908.82 is: 10,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438.84 : 36,658.41 = 6,908.82 : x
  2. Step 2: Convert to fraction form
    24,438.84/36,658.41 = 6,908.82/x
  3. Step 3: Cross multiply
    24,438.84x = 36,658.41 × 6,908.82
  4. Step 4: Simplify right side
    24,438.84x = 253,266,356.18
  5. Step 5: Solve for x
    x = 253,266,356.18/24,438.84
  6. Step 6: Final answer
    x = 10,363.27

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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.