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Finding the Fourth Proportional to 16,348.12, 22,562.06 and 9,635.90

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Solution

The fourth proportional to 16,348.12, 22,562.06 and 9,635.90 is: 13,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.12 : 22,562.06 = 9,635.90 : x
  2. Step 2: Convert to fraction form
    16,348.12/22,562.06 = 9,635.90/x
  3. Step 3: Cross multiply
    16,348.12x = 22,562.06 × 9,635.90
  4. Step 4: Simplify right side
    16,348.12x = 217,405,592.96
  5. Step 5: Solve for x
    x = 217,405,592.96/16,348.12
  6. Step 6: Final answer
    x = 13,298.51

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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.