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Finding the Fourth Proportional to 25,561.54, 38,347.53 and 9,765.46

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Solution

The fourth proportional to 25,561.54, 38,347.53 and 9,765.46 is: 14,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.54 : 38,347.53 = 9,765.46 : x
  2. Step 2: Convert to fraction form
    25,561.54/38,347.53 = 9,765.46/x
  3. Step 3: Cross multiply
    25,561.54x = 38,347.53 × 9,765.46
  4. Step 4: Simplify right side
    25,561.54x = 374,481,270.31
  5. Step 5: Solve for x
    x = 374,481,270.31/25,561.54
  6. Step 6: Final answer
    x = 14,650.18

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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.