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Finding the Fourth Proportional to 17,574.42, 24,252.96 and 9,617.38

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Solution

The fourth proportional to 17,574.42, 24,252.96 and 9,617.38 is: 13,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.42 : 24,252.96 = 9,617.38 : x
  2. Step 2: Convert to fraction form
    17,574.42/24,252.96 = 9,617.38/x
  3. Step 3: Cross multiply
    17,574.42x = 24,252.96 × 9,617.38
  4. Step 4: Simplify right side
    17,574.42x = 233,249,932.44
  5. Step 5: Solve for x
    x = 233,249,932.44/17,574.42
  6. Step 6: Final answer
    x = 13,272.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.