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Finding the Fourth Proportional to 22,770.56, 31,423.51 and 12,699.43

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Solution

The fourth proportional to 22,770.56, 31,423.51 and 12,699.43 is: 17,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.56 : 31,423.51 = 12,699.43 : x
  2. Step 2: Convert to fraction form
    22,770.56/31,423.51 = 12,699.43/x
  3. Step 3: Cross multiply
    22,770.56x = 31,423.51 × 12,699.43
  4. Step 4: Simplify right side
    22,770.56x = 399,060,602.91
  5. Step 5: Solve for x
    x = 399,060,602.91/22,770.56
  6. Step 6: Final answer
    x = 17,525.29

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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.