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Finding the Fourth Proportional to 16,165.45, 22,304.98 and 9,449.78

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Solution

The fourth proportional to 16,165.45, 22,304.98 and 9,449.78 is: 13,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.45 : 22,304.98 = 9,449.78 : x
  2. Step 2: Convert to fraction form
    16,165.45/22,304.98 = 9,449.78/x
  3. Step 3: Cross multiply
    16,165.45x = 22,304.98 × 9,449.78
  4. Step 4: Simplify right side
    16,165.45x = 210,777,153.90
  5. Step 5: Solve for x
    x = 210,777,153.90/16,165.45
  6. Step 6: Final answer
    x = 13,038.74

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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.