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Finding the Fourth Proportional to 25,803.20, 35,611.20 and 14,624

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Solution

The fourth proportional to 25,803.20, 35,611.20 and 14,624 is: 20,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.20 : 35,611.20 = 14,624 : x
  2. Step 2: Convert to fraction form
    25,803.20/35,611.20 = 14,624/x
  3. Step 3: Cross multiply
    25,803.20x = 35,611.20 × 14,624
  4. Step 4: Simplify right side
    25,803.20x = 520,778,188.80
  5. Step 5: Solve for x
    x = 520,778,188.80/25,803.20
  6. Step 6: Final answer
    x = 20,182.70

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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.