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Finding the Fourth Proportional to 17,947, 24,764.52 and 9,989.56

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Solution

The fourth proportional to 17,947, 24,764.52 and 9,989.56 is: 13,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947 : 24,764.52 = 9,989.56 : x
  2. Step 2: Convert to fraction form
    17,947/24,764.52 = 9,989.56/x
  3. Step 3: Cross multiply
    17,947x = 24,764.52 × 9,989.56
  4. Step 4: Simplify right side
    17,947x = 247,386,658.41
  5. Step 5: Solve for x
    x = 247,386,658.41/17,947
  6. Step 6: Final answer
    x = 13,784.29

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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.