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Finding the Fourth Proportional to 17,574.82, 24,253.86 and 10,022.29

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Solution

The fourth proportional to 17,574.82, 24,253.86 and 10,022.29 is: 13,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.82 : 24,253.86 = 10,022.29 : x
  2. Step 2: Convert to fraction form
    17,574.82/24,253.86 = 10,022.29/x
  3. Step 3: Cross multiply
    17,574.82x = 24,253.86 × 10,022.29
  4. Step 4: Simplify right side
    17,574.82x = 243,079,218.54
  5. Step 5: Solve for x
    x = 243,079,218.54/17,574.82
  6. Step 6: Final answer
    x = 13,831.11

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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.