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Finding the Fourth Proportional to 25,982.60, 35,856.14 and 14,652.32

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Solution

The fourth proportional to 25,982.60, 35,856.14 and 14,652.32 is: 20,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982.60 : 35,856.14 = 14,652.32 : x
  2. Step 2: Convert to fraction form
    25,982.60/35,856.14 = 14,652.32/x
  3. Step 3: Cross multiply
    25,982.60x = 35,856.14 × 14,652.32
  4. Step 4: Simplify right side
    25,982.60x = 525,375,384.70
  5. Step 5: Solve for x
    x = 525,375,384.70/25,982.60
  6. Step 6: Final answer
    x = 20,220.28

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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.