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Finding the Fourth Proportional to 19,938.78, 27,515.34 and 11,980.80

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Solution

The fourth proportional to 19,938.78, 27,515.34 and 11,980.80 is: 16,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,938.78 : 27,515.34 = 11,980.80 : x
  2. Step 2: Convert to fraction form
    19,938.78/27,515.34 = 11,980.80/x
  3. Step 3: Cross multiply
    19,938.78x = 27,515.34 × 11,980.80
  4. Step 4: Simplify right side
    19,938.78x = 329,655,785.47
  5. Step 5: Solve for x
    x = 329,655,785.47/19,938.78
  6. Step 6: Final answer
    x = 16,533.40

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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.