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Finding the Fourth Proportional to 25,765.64, 35,550.18 and 16,330.76

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Solution

The fourth proportional to 25,765.64, 35,550.18 and 16,330.76 is: 22,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.64 : 35,550.18 = 16,330.76 : x
  2. Step 2: Convert to fraction form
    25,765.64/35,550.18 = 16,330.76/x
  3. Step 3: Cross multiply
    25,765.64x = 35,550.18 × 16,330.76
  4. Step 4: Simplify right side
    25,765.64x = 580,561,457.54
  5. Step 5: Solve for x
    x = 580,561,457.54/25,765.64
  6. Step 6: Final answer
    x = 22,532.39

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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.