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Finding the Fourth Proportional to 22,770.45, 31,423.16 and 12,698.90

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Solution

The fourth proportional to 22,770.45, 31,423.16 and 12,698.90 is: 17,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.45 : 31,423.16 = 12,698.90 : x
  2. Step 2: Convert to fraction form
    22,770.45/31,423.16 = 12,698.90/x
  3. Step 3: Cross multiply
    22,770.45x = 31,423.16 × 12,698.90
  4. Step 4: Simplify right side
    22,770.45x = 399,039,345.91
  5. Step 5: Solve for x
    x = 399,039,345.91/22,770.45
  6. Step 6: Final answer
    x = 17,524.44

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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.