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Finding the Fourth Proportional to 16,290.82, 22,476.18 and 9,574.30

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Solution

The fourth proportional to 16,290.82, 22,476.18 and 9,574.30 is: 13,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.82 : 22,476.18 = 9,574.30 : x
  2. Step 2: Convert to fraction form
    16,290.82/22,476.18 = 9,574.30/x
  3. Step 3: Cross multiply
    16,290.82x = 22,476.18 × 9,574.30
  4. Step 4: Simplify right side
    16,290.82x = 215,193,690.17
  5. Step 5: Solve for x
    x = 215,193,690.17/16,290.82
  6. Step 6: Final answer
    x = 13,209.51

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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.