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Finding the Fourth Proportional to 16,282.08, 22,459.68 and 9,990

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Solution

The fourth proportional to 16,282.08, 22,459.68 and 9,990 is: 13,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.08 : 22,459.68 = 9,990 : x
  2. Step 2: Convert to fraction form
    16,282.08/22,459.68 = 9,990/x
  3. Step 3: Cross multiply
    16,282.08x = 22,459.68 × 9,990
  4. Step 4: Simplify right side
    16,282.08x = 224,372,203.20
  5. Step 5: Solve for x
    x = 224,372,203.20/16,282.08
  6. Step 6: Final answer
    x = 13,780.32

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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.