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Finding the Fourth Proportional to 18,225.60, 25,151.44 and 10,268

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Solution

The fourth proportional to 18,225.60, 25,151.44 and 10,268 is: 14,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225.60 : 25,151.44 = 10,268 : x
  2. Step 2: Convert to fraction form
    18,225.60/25,151.44 = 10,268/x
  3. Step 3: Cross multiply
    18,225.60x = 25,151.44 × 10,268
  4. Step 4: Simplify right side
    18,225.60x = 258,254,985.92
  5. Step 5: Solve for x
    x = 258,254,985.92/18,225.60
  6. Step 6: Final answer
    x = 14,169.90

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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.