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Finding the Fourth Proportional to 24,599.65, 36,876.78 and 9,805

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Solution

The fourth proportional to 24,599.65, 36,876.78 and 9,805 is: 14,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,599.65 : 36,876.78 = 9,805 : x
  2. Step 2: Convert to fraction form
    24,599.65/36,876.78 = 9,805/x
  3. Step 3: Cross multiply
    24,599.65x = 36,876.78 × 9,805
  4. Step 4: Simplify right side
    24,599.65x = 361,576,827.90
  5. Step 5: Solve for x
    x = 361,576,827.90/24,599.65
  6. Step 6: Final answer
    x = 14,698.45

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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.