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Finding the Fourth Proportional to 14,593.60, 21,883.74 and 5,230

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Solution

The fourth proportional to 14,593.60, 21,883.74 and 5,230 is: 7,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.60 : 21,883.74 = 5,230 : x
  2. Step 2: Convert to fraction form
    14,593.60/21,883.74 = 5,230/x
  3. Step 3: Cross multiply
    14,593.60x = 21,883.74 × 5,230
  4. Step 4: Simplify right side
    14,593.60x = 114,451,960.20
  5. Step 5: Solve for x
    x = 114,451,960.20/14,593.60
  6. Step 6: Final answer
    x = 7,842.61

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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.