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Finding the Fourth Proportional to 25,710, 35,508.96 and 17,311.92

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Solution

The fourth proportional to 25,710, 35,508.96 and 17,311.92 is: 23,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710 : 35,508.96 = 17,311.92 : x
  2. Step 2: Convert to fraction form
    25,710/35,508.96 = 17,311.92/x
  3. Step 3: Cross multiply
    25,710x = 35,508.96 × 17,311.92
  4. Step 4: Simplify right side
    25,710x = 614,728,274.80
  5. Step 5: Solve for x
    x = 614,728,274.80/25,710
  6. Step 6: Final answer
    x = 23,910.08

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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.