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Finding the Fourth Proportional to 25,896.60, 38,780.10 and 20,712.60

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Solution

The fourth proportional to 25,896.60, 38,780.10 and 20,712.60 is: 31,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.60 : 38,780.10 = 20,712.60 : x
  2. Step 2: Convert to fraction form
    25,896.60/38,780.10 = 20,712.60/x
  3. Step 3: Cross multiply
    25,896.60x = 38,780.10 × 20,712.60
  4. Step 4: Simplify right side
    25,896.60x = 803,236,699.26
  5. Step 5: Solve for x
    x = 803,236,699.26/25,896.60
  6. Step 6: Final answer
    x = 31,017.07

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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.