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Finding the Fourth Proportional to 24,822, 34,253.91 and 14,066.82

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Solution

The fourth proportional to 24,822, 34,253.91 and 14,066.82 is: 19,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 34,253.91 = 14,066.82 : x
  2. Step 2: Convert to fraction form
    24,822/34,253.91 = 14,066.82/x
  3. Step 3: Cross multiply
    24,822x = 34,253.91 × 14,066.82
  4. Step 4: Simplify right side
    24,822x = 481,843,586.27
  5. Step 5: Solve for x
    x = 481,843,586.27/24,822
  6. Step 6: Final answer
    x = 19,411.96

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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.