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Finding the Fourth Proportional to 23,069, 34,578.90 and 9,922.40

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Solution

The fourth proportional to 23,069, 34,578.90 and 9,922.40 is: 14,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069 : 34,578.90 = 9,922.40 : x
  2. Step 2: Convert to fraction form
    23,069/34,578.90 = 9,922.40/x
  3. Step 3: Cross multiply
    23,069x = 34,578.90 × 9,922.40
  4. Step 4: Simplify right side
    23,069x = 343,105,677.36
  5. Step 5: Solve for x
    x = 343,105,677.36/23,069
  6. Step 6: Final answer
    x = 14,873.02

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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.