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Finding the Fourth Proportional to 17,738.84, 24,480.72 and 9,781.08

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Solution

The fourth proportional to 17,738.84, 24,480.72 and 9,781.08 is: 13,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.84 : 24,480.72 = 9,781.08 : x
  2. Step 2: Convert to fraction form
    17,738.84/24,480.72 = 9,781.08/x
  3. Step 3: Cross multiply
    17,738.84x = 24,480.72 × 9,781.08
  4. Step 4: Simplify right side
    17,738.84x = 239,447,880.78
  5. Step 5: Solve for x
    x = 239,447,880.78/17,738.84
  6. Step 6: Final answer
    x = 13,498.51

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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.