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Finding the Fourth Proportional to 25,196.56, 37,781.88 and 11,338

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Solution

The fourth proportional to 25,196.56, 37,781.88 and 11,338 is: 17,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.56 : 37,781.88 = 11,338 : x
  2. Step 2: Convert to fraction form
    25,196.56/37,781.88 = 11,338/x
  3. Step 3: Cross multiply
    25,196.56x = 37,781.88 × 11,338
  4. Step 4: Simplify right side
    25,196.56x = 428,370,955.44
  5. Step 5: Solve for x
    x = 428,370,955.44/25,196.56
  6. Step 6: Final answer
    x = 17,001.17

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Why These Related Problems?

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