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Finding the Fourth Proportional to 22,367.60, 30,864.64 and 12,294.40

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Solution

The fourth proportional to 22,367.60, 30,864.64 and 12,294.40 is: 16,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,367.60 : 30,864.64 = 12,294.40 : x
  2. Step 2: Convert to fraction form
    22,367.60/30,864.64 = 12,294.40/x
  3. Step 3: Cross multiply
    22,367.60x = 30,864.64 × 12,294.40
  4. Step 4: Simplify right side
    22,367.60x = 379,462,014.22
  5. Step 5: Solve for x
    x = 379,462,014.22/22,367.60
  6. Step 6: Final answer
    x = 16,964.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.