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Finding the Fourth Proportional to 24,644, 34,009.94 and 14,034.62

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Solution

The fourth proportional to 24,644, 34,009.94 and 14,034.62 is: 19,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644 : 34,009.94 = 14,034.62 : x
  2. Step 2: Convert to fraction form
    24,644/34,009.94 = 14,034.62/x
  3. Step 3: Cross multiply
    24,644x = 34,009.94 × 14,034.62
  4. Step 4: Simplify right side
    24,644x = 477,316,584.12
  5. Step 5: Solve for x
    x = 477,316,584.12/24,644
  6. Step 6: Final answer
    x = 19,368.47

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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.