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Finding the Fourth Proportional to 16,281.58, 22,471.50 and 9,567.46

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Solution

The fourth proportional to 16,281.58, 22,471.50 and 9,567.46 is: 13,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.58 : 22,471.50 = 9,567.46 : x
  2. Step 2: Convert to fraction form
    16,281.58/22,471.50 = 9,567.46/x
  3. Step 3: Cross multiply
    16,281.58x = 22,471.50 × 9,567.46
  4. Step 4: Simplify right side
    16,281.58x = 214,995,177.39
  5. Step 5: Solve for x
    x = 214,995,177.39/16,281.58
  6. Step 6: Final answer
    x = 13,204.81

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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.