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Finding the Fourth Proportional to 22,944.98, 34,403.10 and 9,614.36

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Solution

The fourth proportional to 22,944.98, 34,403.10 and 9,614.36 is: 14,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944.98 : 34,403.10 = 9,614.36 : x
  2. Step 2: Convert to fraction form
    22,944.98/34,403.10 = 9,614.36/x
  3. Step 3: Cross multiply
    22,944.98x = 34,403.10 × 9,614.36
  4. Step 4: Simplify right side
    22,944.98x = 330,763,788.52
  5. Step 5: Solve for x
    x = 330,763,788.52/22,944.98
  6. Step 6: Final answer
    x = 14,415.52

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