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Finding the Fourth Proportional to 18,188.05, 25,097.47 and 10,230.10

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Solution

The fourth proportional to 18,188.05, 25,097.47 and 10,230.10 is: 14,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,188.05 : 25,097.47 = 10,230.10 : x
  2. Step 2: Convert to fraction form
    18,188.05/25,097.47 = 10,230.10/x
  3. Step 3: Cross multiply
    18,188.05x = 25,097.47 × 10,230.10
  4. Step 4: Simplify right side
    18,188.05x = 256,749,627.85
  5. Step 5: Solve for x
    x = 256,749,627.85/18,188.05
  6. Step 6: Final answer
    x = 14,116.39

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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.