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Finding the Fourth Proportional to 16,142.55, 22,274.64 and 9,423.31

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Solution

The fourth proportional to 16,142.55, 22,274.64 and 9,423.31 is: 13,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.55 : 22,274.64 = 9,423.31 : x
  2. Step 2: Convert to fraction form
    16,142.55/22,274.64 = 9,423.31/x
  3. Step 3: Cross multiply
    16,142.55x = 22,274.64 × 9,423.31
  4. Step 4: Simplify right side
    16,142.55x = 209,900,837.86
  5. Step 5: Solve for x
    x = 209,900,837.86/16,142.55
  6. Step 6: Final answer
    x = 13,002.96

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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.