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Finding the Fourth Proportional to 16,534.32, 22,815.78 and 9,364.56

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Solution

The fourth proportional to 16,534.32, 22,815.78 and 9,364.56 is: 12,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.32 : 22,815.78 = 9,364.56 : x
  2. Step 2: Convert to fraction form
    16,534.32/22,815.78 = 9,364.56/x
  3. Step 3: Cross multiply
    16,534.32x = 22,815.78 × 9,364.56
  4. Step 4: Simplify right side
    16,534.32x = 213,659,740.76
  5. Step 5: Solve for x
    x = 213,659,740.76/16,534.32
  6. Step 6: Final answer
    x = 12,922.20

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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.