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Finding the Fourth Proportional to 16,200.96, 22,362.89 and 9,488.75

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Solution

The fourth proportional to 16,200.96, 22,362.89 and 9,488.75 is: 13,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.96 : 22,362.89 = 9,488.75 : x
  2. Step 2: Convert to fraction form
    16,200.96/22,362.89 = 9,488.75/x
  3. Step 3: Cross multiply
    16,200.96x = 22,362.89 × 9,488.75
  4. Step 4: Simplify right side
    16,200.96x = 212,195,713.23
  5. Step 5: Solve for x
    x = 212,195,713.23/16,200.96
  6. Step 6: Final answer
    x = 13,097.72

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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.