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Finding the Fourth Proportional to 17,619.34, 24,314.56 and 9,661.43

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Solution

The fourth proportional to 17,619.34, 24,314.56 and 9,661.43 is: 13,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.34 : 24,314.56 = 9,661.43 : x
  2. Step 2: Convert to fraction form
    17,619.34/24,314.56 = 9,661.43/x
  3. Step 3: Cross multiply
    17,619.34x = 24,314.56 × 9,661.43
  4. Step 4: Simplify right side
    17,619.34x = 234,913,273.69
  5. Step 5: Solve for x
    x = 234,913,273.69/17,619.34
  6. Step 6: Final answer
    x = 13,332.70

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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.