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Finding the Fourth Proportional to 16,214.10, 22,380.99 and 9,501.87

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Solution

The fourth proportional to 16,214.10, 22,380.99 and 9,501.87 is: 13,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.10 : 22,380.99 = 9,501.87 : x
  2. Step 2: Convert to fraction form
    16,214.10/22,380.99 = 9,501.87/x
  3. Step 3: Cross multiply
    16,214.10x = 22,380.99 × 9,501.87
  4. Step 4: Simplify right side
    16,214.10x = 212,661,257.45
  5. Step 5: Solve for x
    x = 212,661,257.45/16,214.10
  6. Step 6: Final answer
    x = 13,115.82

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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.