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Finding the Fourth Proportional to 24,731.22, 34,126.34 and 14,118.80

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Solution

The fourth proportional to 24,731.22, 34,126.34 and 14,118.80 is: 19,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.22 : 34,126.34 = 14,118.80 : x
  2. Step 2: Convert to fraction form
    24,731.22/34,126.34 = 14,118.80/x
  3. Step 3: Cross multiply
    24,731.22x = 34,126.34 × 14,118.80
  4. Step 4: Simplify right side
    24,731.22x = 481,822,969.19
  5. Step 5: Solve for x
    x = 481,822,969.19/24,731.22
  6. Step 6: Final answer
    x = 19,482.38

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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.