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Finding the Fourth Proportional to 26,240.88, 36,211.92 and 14,304

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Solution

The fourth proportional to 26,240.88, 36,211.92 and 14,304 is: 19,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,240.88 : 36,211.92 = 14,304 : x
  2. Step 2: Convert to fraction form
    26,240.88/36,211.92 = 14,304/x
  3. Step 3: Cross multiply
    26,240.88x = 36,211.92 × 14,304
  4. Step 4: Simplify right side
    26,240.88x = 517,975,303.68
  5. Step 5: Solve for x
    x = 517,975,303.68/26,240.88
  6. Step 6: Final answer
    x = 19,739.25

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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.