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Finding the Fourth Proportional to 16,299.80, 22,493.82 and 9,585.72

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Solution

The fourth proportional to 16,299.80, 22,493.82 and 9,585.72 is: 13,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.80 : 22,493.82 = 9,585.72 : x
  2. Step 2: Convert to fraction form
    16,299.80/22,493.82 = 9,585.72/x
  3. Step 3: Cross multiply
    16,299.80x = 22,493.82 × 9,585.72
  4. Step 4: Simplify right side
    16,299.80x = 215,619,460.25
  5. Step 5: Solve for x
    x = 215,619,460.25/16,299.80
  6. Step 6: Final answer
    x = 13,228.35

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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.