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Finding the Fourth Proportional to 24,644.33, 34,009.50 and 14,034

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Solution

The fourth proportional to 24,644.33, 34,009.50 and 14,034 is: 19,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.33 : 34,009.50 = 14,034 : x
  2. Step 2: Convert to fraction form
    24,644.33/34,009.50 = 14,034/x
  3. Step 3: Cross multiply
    24,644.33x = 34,009.50 × 14,034
  4. Step 4: Simplify right side
    24,644.33x = 477,289,323
  5. Step 5: Solve for x
    x = 477,289,323/24,644.33
  6. Step 6: Final answer
    x = 19,367.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.