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Finding the Fourth Proportional to 16,374.12, 22,595.31 and 9,660

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Solution

The fourth proportional to 16,374.12, 22,595.31 and 9,660 is: 13,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.12 : 22,595.31 = 9,660 : x
  2. Step 2: Convert to fraction form
    16,374.12/22,595.31 = 9,660/x
  3. Step 3: Cross multiply
    16,374.12x = 22,595.31 × 9,660
  4. Step 4: Simplify right side
    16,374.12x = 218,270,694.60
  5. Step 5: Solve for x
    x = 218,270,694.60/16,374.12
  6. Step 6: Final answer
    x = 13,330.22

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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.