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Finding the Fourth Proportional to 17,904.48, 24,708.18 and 9,947.46

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Solution

The fourth proportional to 17,904.48, 24,708.18 and 9,947.46 is: 13,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.48 : 24,708.18 = 9,947.46 : x
  2. Step 2: Convert to fraction form
    17,904.48/24,708.18 = 9,947.46/x
  3. Step 3: Cross multiply
    17,904.48x = 24,708.18 × 9,947.46
  4. Step 4: Simplify right side
    17,904.48x = 245,783,632.22
  5. Step 5: Solve for x
    x = 245,783,632.22/17,904.48
  6. Step 6: Final answer
    x = 13,727.49

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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.