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Finding the Fourth Proportional to 24,930, 34,407.81 and 14,864.25

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Solution

The fourth proportional to 24,930, 34,407.81 and 14,864.25 is: 20,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,930 : 34,407.81 = 14,864.25 : x
  2. Step 2: Convert to fraction form
    24,930/34,407.81 = 14,864.25/x
  3. Step 3: Cross multiply
    24,930x = 34,407.81 × 14,864.25
  4. Step 4: Simplify right side
    24,930x = 511,446,289.79
  5. Step 5: Solve for x
    x = 511,446,289.79/24,930
  6. Step 6: Final answer
    x = 20,515.29

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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.