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Finding the Fourth Proportional to 22,873.84, 34,305.96 and 6,454

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Solution

The fourth proportional to 22,873.84, 34,305.96 and 6,454 is: 9,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.84 : 34,305.96 = 6,454 : x
  2. Step 2: Convert to fraction form
    22,873.84/34,305.96 = 6,454/x
  3. Step 3: Cross multiply
    22,873.84x = 34,305.96 × 6,454
  4. Step 4: Simplify right side
    22,873.84x = 221,410,665.84
  5. Step 5: Solve for x
    x = 221,410,665.84/22,873.84
  6. Step 6: Final answer
    x = 9,679.65

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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.