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Finding the Fourth Proportional to 22,926, 34,381.80 and 8,885.06

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Solution

The fourth proportional to 22,926, 34,381.80 and 8,885.06 is: 13,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,926 : 34,381.80 = 8,885.06 : x
  2. Step 2: Convert to fraction form
    22,926/34,381.80 = 8,885.06/x
  3. Step 3: Cross multiply
    22,926x = 34,381.80 × 8,885.06
  4. Step 4: Simplify right side
    22,926x = 305,484,355.91
  5. Step 5: Solve for x
    x = 305,484,355.91/22,926
  6. Step 6: Final answer
    x = 13,324.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.