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Finding the Fourth Proportional to 17,739.47, 24,480 and 9,781.56

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Solution

The fourth proportional to 17,739.47, 24,480 and 9,781.56 is: 13,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739.47 : 24,480 = 9,781.56 : x
  2. Step 2: Convert to fraction form
    17,739.47/24,480 = 9,781.56/x
  3. Step 3: Cross multiply
    17,739.47x = 24,480 × 9,781.56
  4. Step 4: Simplify right side
    17,739.47x = 239,452,588.80
  5. Step 5: Solve for x
    x = 239,452,588.80/17,739.47
  6. Step 6: Final answer
    x = 13,498.29

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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.