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Finding the Fourth Proportional to 17,904.10, 24,708.40 and 9,947.06

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Solution

The fourth proportional to 17,904.10, 24,708.40 and 9,947.06 is: 13,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.10 : 24,708.40 = 9,947.06 : x
  2. Step 2: Convert to fraction form
    17,904.10/24,708.40 = 9,947.06/x
  3. Step 3: Cross multiply
    17,904.10x = 24,708.40 × 9,947.06
  4. Step 4: Simplify right side
    17,904.10x = 245,775,937.30
  5. Step 5: Solve for x
    x = 245,775,937.30/17,904.10
  6. Step 6: Final answer
    x = 13,727.36

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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.