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Finding the Fourth Proportional to 24,685.49, 37,033.72 and 9,694.06

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Solution

The fourth proportional to 24,685.49, 37,033.72 and 9,694.06 is: 14,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,685.49 : 37,033.72 = 9,694.06 : x
  2. Step 2: Convert to fraction form
    24,685.49/37,033.72 = 9,694.06/x
  3. Step 3: Cross multiply
    24,685.49x = 37,033.72 × 9,694.06
  4. Step 4: Simplify right side
    24,685.49x = 359,006,986.88
  5. Step 5: Solve for x
    x = 359,006,986.88/24,685.49
  6. Step 6: Final answer
    x = 14,543.24

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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.