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Finding the Fourth Proportional to 22,924, 34,378.80 and 8,883.06

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Solution

The fourth proportional to 22,924, 34,378.80 and 8,883.06 is: 13,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924 : 34,378.80 = 8,883.06 : x
  2. Step 2: Convert to fraction form
    22,924/34,378.80 = 8,883.06/x
  3. Step 3: Cross multiply
    22,924x = 34,378.80 × 8,883.06
  4. Step 4: Simplify right side
    22,924x = 305,388,943.13
  5. Step 5: Solve for x
    x = 305,388,943.13/22,924
  6. Step 6: Final answer
    x = 13,321.80

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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.