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Finding the Fourth Proportional to 14,454, 19,947 and 8,863.92

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Solution

The fourth proportional to 14,454, 19,947 and 8,863.92 is: 12,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454 : 19,947 = 8,863.92 : x
  2. Step 2: Convert to fraction form
    14,454/19,947 = 8,863.92/x
  3. Step 3: Cross multiply
    14,454x = 19,947 × 8,863.92
  4. Step 4: Simplify right side
    14,454x = 176,808,612.24
  5. Step 5: Solve for x
    x = 176,808,612.24/14,454
  6. Step 6: Final answer
    x = 12,232.50

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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.