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Finding the Fourth Proportional to 16,267.32, 22,451.97 and 9,193.74

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Solution

The fourth proportional to 16,267.32, 22,451.97 and 9,193.74 is: 12,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.32 : 22,451.97 = 9,193.74 : x
  2. Step 2: Convert to fraction form
    16,267.32/22,451.97 = 9,193.74/x
  3. Step 3: Cross multiply
    16,267.32x = 22,451.97 × 9,193.74
  4. Step 4: Simplify right side
    16,267.32x = 206,417,574.67
  5. Step 5: Solve for x
    x = 206,417,574.67/16,267.32
  6. Step 6: Final answer
    x = 12,689.10

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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.