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Finding the Fourth Proportional to 16,648.95, 24,964.54 and 7,278

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Solution

The fourth proportional to 16,648.95, 24,964.54 and 7,278 is: 10,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.95 : 24,964.54 = 7,278 : x
  2. Step 2: Convert to fraction form
    16,648.95/24,964.54 = 7,278/x
  3. Step 3: Cross multiply
    16,648.95x = 24,964.54 × 7,278
  4. Step 4: Simplify right side
    16,648.95x = 181,691,922.12
  5. Step 5: Solve for x
    x = 181,691,922.12/16,648.95
  6. Step 6: Final answer
    x = 10,913.12

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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.