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Finding the Fourth Proportional to 22,770.65, 31,423.67 and 12,699.74

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Solution

The fourth proportional to 22,770.65, 31,423.67 and 12,699.74 is: 17,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.65 : 31,423.67 = 12,699.74 : x
  2. Step 2: Convert to fraction form
    22,770.65/31,423.67 = 12,699.74/x
  3. Step 3: Cross multiply
    22,770.65x = 31,423.67 × 12,699.74
  4. Step 4: Simplify right side
    22,770.65x = 399,072,313.48
  5. Step 5: Solve for x
    x = 399,072,313.48/22,770.65
  6. Step 6: Final answer
    x = 17,525.74

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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.