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Finding the Fourth Proportional to 22,912.65, 34,347.02 and 14,566.82

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Solution

The fourth proportional to 22,912.65, 34,347.02 and 14,566.82 is: 21,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.65 : 34,347.02 = 14,566.82 : x
  2. Step 2: Convert to fraction form
    22,912.65/34,347.02 = 14,566.82/x
  3. Step 3: Cross multiply
    22,912.65x = 34,347.02 × 14,566.82
  4. Step 4: Simplify right side
    22,912.65x = 500,326,613.31
  5. Step 5: Solve for x
    x = 500,326,613.31/22,912.65
  6. Step 6: Final answer
    x = 21,836.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.