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Finding the Fourth Proportional to 14,966.83, 22,447.23 and 5,100.76

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Solution

The fourth proportional to 14,966.83, 22,447.23 and 5,100.76 is: 7,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.83 : 22,447.23 = 5,100.76 : x
  2. Step 2: Convert to fraction form
    14,966.83/22,447.23 = 5,100.76/x
  3. Step 3: Cross multiply
    14,966.83x = 22,447.23 × 5,100.76
  4. Step 4: Simplify right side
    14,966.83x = 114,497,932.89
  5. Step 5: Solve for x
    x = 114,497,932.89/14,966.83
  6. Step 6: Final answer
    x = 7,650.11

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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.