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Finding the Fourth Proportional to 14,940.60, 22,427.10 and 9,400.20

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Solution

The fourth proportional to 14,940.60, 22,427.10 and 9,400.20 is: 14,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,940.60 : 22,427.10 = 9,400.20 : x
  2. Step 2: Convert to fraction form
    14,940.60/22,427.10 = 9,400.20/x
  3. Step 3: Cross multiply
    14,940.60x = 22,427.10 × 9,400.20
  4. Step 4: Simplify right side
    14,940.60x = 210,819,225.42
  5. Step 5: Solve for x
    x = 210,819,225.42/14,940.60
  6. Step 6: Final answer
    x = 14,110.49

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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.