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Finding the Fourth Proportional to 22,752.98, 34,072.50 and 14,407.82

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Solution

The fourth proportional to 22,752.98, 34,072.50 and 14,407.82 is: 21,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.98 : 34,072.50 = 14,407.82 : x
  2. Step 2: Convert to fraction form
    22,752.98/34,072.50 = 14,407.82/x
  3. Step 3: Cross multiply
    22,752.98x = 34,072.50 × 14,407.82
  4. Step 4: Simplify right side
    22,752.98x = 490,910,446.95
  5. Step 5: Solve for x
    x = 490,910,446.95/22,752.98
  6. Step 6: Final answer
    x = 21,575.66

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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.