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Finding the Fourth Proportional to 14,874.64, 22,293.72 and 8,947.84

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Solution

The fourth proportional to 14,874.64, 22,293.72 and 8,947.84 is: 13,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.64 : 22,293.72 = 8,947.84 : x
  2. Step 2: Convert to fraction form
    14,874.64/22,293.72 = 8,947.84/x
  3. Step 3: Cross multiply
    14,874.64x = 22,293.72 × 8,947.84
  4. Step 4: Simplify right side
    14,874.64x = 199,480,639.56
  5. Step 5: Solve for x
    x = 199,480,639.56/14,874.64
  6. Step 6: Final answer
    x = 13,410.79

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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.