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Finding the Fourth Proportional to 14,287.24, 19,725.78 and 8,707.72

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Solution

The fourth proportional to 14,287.24, 19,725.78 and 8,707.72 is: 12,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.24 : 19,725.78 = 8,707.72 : x
  2. Step 2: Convert to fraction form
    14,287.24/19,725.78 = 8,707.72/x
  3. Step 3: Cross multiply
    14,287.24x = 19,725.78 × 8,707.72
  4. Step 4: Simplify right side
    14,287.24x = 171,766,569.02
  5. Step 5: Solve for x
    x = 171,766,569.02/14,287.24
  6. Step 6: Final answer
    x = 12,022.38

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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.