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Finding the Fourth Proportional to 14,612.76, 21,932.82 and 8,029.89

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Solution

The fourth proportional to 14,612.76, 21,932.82 and 8,029.89 is: 12,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.76 : 21,932.82 = 8,029.89 : x
  2. Step 2: Convert to fraction form
    14,612.76/21,932.82 = 8,029.89/x
  3. Step 3: Cross multiply
    14,612.76x = 21,932.82 × 8,029.89
  4. Step 4: Simplify right side
    14,612.76x = 176,118,131.99
  5. Step 5: Solve for x
    x = 176,118,131.99/14,612.76
  6. Step 6: Final answer
    x = 12,052.35

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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.