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Finding the Fourth Proportional to 24,834, 34,278.21 and 14,769.57

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Solution

The fourth proportional to 24,834, 34,278.21 and 14,769.57 is: 20,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834 : 34,278.21 = 14,769.57 : x
  2. Step 2: Convert to fraction form
    24,834/34,278.21 = 14,769.57/x
  3. Step 3: Cross multiply
    24,834x = 34,278.21 × 14,769.57
  4. Step 4: Simplify right side
    24,834x = 506,274,422.07
  5. Step 5: Solve for x
    x = 506,274,422.07/24,834
  6. Step 6: Final answer
    x = 20,386.34

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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.