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Finding the Fourth Proportional to 27,261.20, 40,893.15 and 14,139.20

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Solution

The fourth proportional to 27,261.20, 40,893.15 and 14,139.20 is: 21,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,261.20 : 40,893.15 = 14,139.20 : x
  2. Step 2: Convert to fraction form
    27,261.20/40,893.15 = 14,139.20/x
  3. Step 3: Cross multiply
    27,261.20x = 40,893.15 × 14,139.20
  4. Step 4: Simplify right side
    27,261.20x = 578,196,426.48
  5. Step 5: Solve for x
    x = 578,196,426.48/27,261.20
  6. Step 6: Final answer
    x = 21,209.50

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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.