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Finding the Fourth Proportional to 27,878.40, 38,491.20 and 19,497.60

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Solution

The fourth proportional to 27,878.40, 38,491.20 and 19,497.60 is: 26,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.40 : 38,491.20 = 19,497.60 : x
  2. Step 2: Convert to fraction form
    27,878.40/38,491.20 = 19,497.60/x
  3. Step 3: Cross multiply
    27,878.40x = 38,491.20 × 19,497.60
  4. Step 4: Simplify right side
    27,878.40x = 750,486,021.12
  5. Step 5: Solve for x
    x = 750,486,021.12/27,878.40
  6. Step 6: Final answer
    x = 26,919.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.