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Finding the Fourth Proportional to 16,662, 22,994.06 and 9,108.16

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Solution

The fourth proportional to 16,662, 22,994.06 and 9,108.16 is: 12,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662 : 22,994.06 = 9,108.16 : x
  2. Step 2: Convert to fraction form
    16,662/22,994.06 = 9,108.16/x
  3. Step 3: Cross multiply
    16,662x = 22,994.06 × 9,108.16
  4. Step 4: Simplify right side
    16,662x = 209,433,577.53
  5. Step 5: Solve for x
    x = 209,433,577.53/16,662
  6. Step 6: Final answer
    x = 12,569.53

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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.