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Finding the Fourth Proportional to 24,821.84, 34,256.84 and 14,214.96

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Solution

The fourth proportional to 24,821.84, 34,256.84 and 14,214.96 is: 19,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.84 : 34,256.84 = 14,214.96 : x
  2. Step 2: Convert to fraction form
    24,821.84/34,256.84 = 14,214.96/x
  3. Step 3: Cross multiply
    24,821.84x = 34,256.84 × 14,214.96
  4. Step 4: Simplify right side
    24,821.84x = 486,959,610.33
  5. Step 5: Solve for x
    x = 486,959,610.33/24,821.84
  6. Step 6: Final answer
    x = 19,618.19

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1.5x scale

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.