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Finding the Fourth Proportional to 14,081.90, 19,432.76 and 7,708.34

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Solution

The fourth proportional to 14,081.90, 19,432.76 and 7,708.34 is: 10,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.90 : 19,432.76 = 7,708.34 : x
  2. Step 2: Convert to fraction form
    14,081.90/19,432.76 = 7,708.34/x
  3. Step 3: Cross multiply
    14,081.90x = 19,432.76 × 7,708.34
  4. Step 4: Simplify right side
    14,081.90x = 149,794,321.22
  5. Step 5: Solve for x
    x = 149,794,321.22/14,081.90
  6. Step 6: Final answer
    x = 10,637.37

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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.