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Finding the Fourth Proportional to 17,492, 26,238.72 and 5,180

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Solution

The fourth proportional to 17,492, 26,238.72 and 5,180 is: 7,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,492 : 26,238.72 = 5,180 : x
  2. Step 2: Convert to fraction form
    17,492/26,238.72 = 5,180/x
  3. Step 3: Cross multiply
    17,492x = 26,238.72 × 5,180
  4. Step 4: Simplify right side
    17,492x = 135,916,569.60
  5. Step 5: Solve for x
    x = 135,916,569.60/17,492
  6. Step 6: Final answer
    x = 7,770.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.