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Finding the Fourth Proportional to 16,165.30, 22,304.78 and 9,449.63

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Solution

The fourth proportional to 16,165.30, 22,304.78 and 9,449.63 is: 13,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.30 : 22,304.78 = 9,449.63 : x
  2. Step 2: Convert to fraction form
    16,165.30/22,304.78 = 9,449.63/x
  3. Step 3: Cross multiply
    16,165.30x = 22,304.78 × 9,449.63
  4. Step 4: Simplify right side
    16,165.30x = 210,771,918.23
  5. Step 5: Solve for x
    x = 210,771,918.23/16,165.30
  6. Step 6: Final answer
    x = 13,038.54

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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.