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Finding the Fourth Proportional to 22,314.60, 30,794.47 and 12,242.86

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Solution

The fourth proportional to 22,314.60, 30,794.47 and 12,242.86 is: 16,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.60 : 30,794.47 = 12,242.86 : x
  2. Step 2: Convert to fraction form
    22,314.60/30,794.47 = 12,242.86/x
  3. Step 3: Cross multiply
    22,314.60x = 30,794.47 × 12,242.86
  4. Step 4: Simplify right side
    22,314.60x = 377,012,277.39
  5. Step 5: Solve for x
    x = 377,012,277.39/22,314.60
  6. Step 6: Final answer
    x = 16,895.32

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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.