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Finding the Fourth Proportional to 17,464.68, 24,101.01 and 9,506.97

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Solution

The fourth proportional to 17,464.68, 24,101.01 and 9,506.97 is: 13,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.68 : 24,101.01 = 9,506.97 : x
  2. Step 2: Convert to fraction form
    17,464.68/24,101.01 = 9,506.97/x
  3. Step 3: Cross multiply
    17,464.68x = 24,101.01 × 9,506.97
  4. Step 4: Simplify right side
    17,464.68x = 229,127,579.04
  5. Step 5: Solve for x
    x = 229,127,579.04/17,464.68
  6. Step 6: Final answer
    x = 13,119.48

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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.