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Finding the Fourth Proportional to 17,101.40, 25,652.39 and 7,741.76

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Solution

The fourth proportional to 17,101.40, 25,652.39 and 7,741.76 is: 11,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.40 : 25,652.39 = 7,741.76 : x
  2. Step 2: Convert to fraction form
    17,101.40/25,652.39 = 7,741.76/x
  3. Step 3: Cross multiply
    17,101.40x = 25,652.39 × 7,741.76
  4. Step 4: Simplify right side
    17,101.40x = 198,594,479.84
  5. Step 5: Solve for x
    x = 198,594,479.84/17,101.40
  6. Step 6: Final answer
    x = 11,612.76

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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.