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Finding the Fourth Proportional to 25,782.33, 38,673.53 and 7,062.53

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Solution

The fourth proportional to 25,782.33, 38,673.53 and 7,062.53 is: 10,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.33 : 38,673.53 = 7,062.53 : x
  2. Step 2: Convert to fraction form
    25,782.33/38,673.53 = 7,062.53/x
  3. Step 3: Cross multiply
    25,782.33x = 38,673.53 × 7,062.53
  4. Step 4: Simplify right side
    25,782.33x = 273,132,965.83
  5. Step 5: Solve for x
    x = 273,132,965.83/25,782.33
  6. Step 6: Final answer
    x = 10,593.80

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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.