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Finding the Fourth Proportional to 17,574.32, 24,252.90 and 9,616.71

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Solution

The fourth proportional to 17,574.32, 24,252.90 and 9,616.71 is: 13,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.32 : 24,252.90 = 9,616.71 : x
  2. Step 2: Convert to fraction form
    17,574.32/24,252.90 = 9,616.71/x
  3. Step 3: Cross multiply
    17,574.32x = 24,252.90 × 9,616.71
  4. Step 4: Simplify right side
    17,574.32x = 233,233,105.96
  5. Step 5: Solve for x
    x = 233,233,105.96/17,574.32
  6. Step 6: Final answer
    x = 13,271.25

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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.