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Finding the Fourth Proportional to 17,834.24, 24,612.05 and 9,768.47

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Solution

The fourth proportional to 17,834.24, 24,612.05 and 9,768.47 is: 13,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.24 : 24,612.05 = 9,768.47 : x
  2. Step 2: Convert to fraction form
    17,834.24/24,612.05 = 9,768.47/x
  3. Step 3: Cross multiply
    17,834.24x = 24,612.05 × 9,768.47
  4. Step 4: Simplify right side
    17,834.24x = 240,421,973.42
  5. Step 5: Solve for x
    x = 240,421,973.42/17,834.24
  6. Step 6: Final answer
    x = 13,480.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.