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Finding the Fourth Proportional to 22,421.86, 30,942.16 and 12,350.22

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Solution

The fourth proportional to 22,421.86, 30,942.16 and 12,350.22 is: 17,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.86 : 30,942.16 = 12,350.22 : x
  2. Step 2: Convert to fraction form
    22,421.86/30,942.16 = 12,350.22/x
  3. Step 3: Cross multiply
    22,421.86x = 30,942.16 × 12,350.22
  4. Step 4: Simplify right side
    22,421.86x = 382,142,483.28
  5. Step 5: Solve for x
    x = 382,142,483.28/22,421.86
  6. Step 6: Final answer
    x = 17,043.30

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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.