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Finding the Fourth Proportional to 16,281.32, 22,464.24 and 9,567.20

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Solution

The fourth proportional to 16,281.32, 22,464.24 and 9,567.20 is: 13,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.32 : 22,464.24 = 9,567.20 : x
  2. Step 2: Convert to fraction form
    16,281.32/22,464.24 = 9,567.20/x
  3. Step 3: Cross multiply
    16,281.32x = 22,464.24 × 9,567.20
  4. Step 4: Simplify right side
    16,281.32x = 214,919,876.93
  5. Step 5: Solve for x
    x = 214,919,876.93/16,281.32
  6. Step 6: Final answer
    x = 13,200.40

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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.