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Finding the Fourth Proportional to 14,059.71, 19,406.25 and 8,751.42

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Solution

The fourth proportional to 14,059.71, 19,406.25 and 8,751.42 is: 12,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.71 : 19,406.25 = 8,751.42 : x
  2. Step 2: Convert to fraction form
    14,059.71/19,406.25 = 8,751.42/x
  3. Step 3: Cross multiply
    14,059.71x = 19,406.25 × 8,751.42
  4. Step 4: Simplify right side
    14,059.71x = 169,832,244.38
  5. Step 5: Solve for x
    x = 169,832,244.38/14,059.71
  6. Step 6: Final answer
    x = 12,079.36

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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.