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Finding the Fourth Proportional to 14,414.52, 19,892 and 7,790.52

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Solution

The fourth proportional to 14,414.52, 19,892 and 7,790.52 is: 10,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.52 : 19,892 = 7,790.52 : x
  2. Step 2: Convert to fraction form
    14,414.52/19,892 = 7,790.52/x
  3. Step 3: Cross multiply
    14,414.52x = 19,892 × 7,790.52
  4. Step 4: Simplify right side
    14,414.52x = 154,969,023.84
  5. Step 5: Solve for x
    x = 154,969,023.84/14,414.52
  6. Step 6: Final answer
    x = 10,750.90

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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.