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Finding the Fourth Proportional to 25,561.75, 35,276 and 13,920.75

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Solution

The fourth proportional to 25,561.75, 35,276 and 13,920.75 is: 19,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.75 : 35,276 = 13,920.75 : x
  2. Step 2: Convert to fraction form
    25,561.75/35,276 = 13,920.75/x
  3. Step 3: Cross multiply
    25,561.75x = 35,276 × 13,920.75
  4. Step 4: Simplify right side
    25,561.75x = 491,068,377
  5. Step 5: Solve for x
    x = 491,068,377/25,561.75
  6. Step 6: Final answer
    x = 19,211.06

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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.