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Finding the Fourth Proportional to 19,751.22, 29,595.69 and 7,254

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Solution

The fourth proportional to 19,751.22, 29,595.69 and 7,254 is: 10,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.22 : 29,595.69 = 7,254 : x
  2. Step 2: Convert to fraction form
    19,751.22/29,595.69 = 7,254/x
  3. Step 3: Cross multiply
    19,751.22x = 29,595.69 × 7,254
  4. Step 4: Simplify right side
    19,751.22x = 214,687,135.26
  5. Step 5: Solve for x
    x = 214,687,135.26/19,751.22
  6. Step 6: Final answer
    x = 10,869.56

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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.