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Finding the Fourth Proportional to 22,834.49, 34,254.45 and 9,685.13

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Solution

The fourth proportional to 22,834.49, 34,254.45 and 9,685.13 is: 14,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,834.49 : 34,254.45 = 9,685.13 : x
  2. Step 2: Convert to fraction form
    22,834.49/34,254.45 = 9,685.13/x
  3. Step 3: Cross multiply
    22,834.49x = 34,254.45 × 9,685.13
  4. Step 4: Simplify right side
    22,834.49x = 331,758,630.06
  5. Step 5: Solve for x
    x = 331,758,630.06/22,834.49
  6. Step 6: Final answer
    x = 14,528.84

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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.