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Finding the Fourth Proportional to 14,942.42, 22,410.05 and 4,409.60

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Solution

The fourth proportional to 14,942.42, 22,410.05 and 4,409.60 is: 6,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.42 : 22,410.05 = 4,409.60 : x
  2. Step 2: Convert to fraction form
    14,942.42/22,410.05 = 4,409.60/x
  3. Step 3: Cross multiply
    14,942.42x = 22,410.05 × 4,409.60
  4. Step 4: Simplify right side
    14,942.42x = 98,819,356.48
  5. Step 5: Solve for x
    x = 98,819,356.48/14,942.42
  6. Step 6: Final answer
    x = 6,613.34

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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.