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Finding the Fourth Proportional to 22,309.83, 33,462.32 and 9,830.57

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Solution

The fourth proportional to 22,309.83, 33,462.32 and 9,830.57 is: 14,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.83 : 33,462.32 = 9,830.57 : x
  2. Step 2: Convert to fraction form
    22,309.83/33,462.32 = 9,830.57/x
  3. Step 3: Cross multiply
    22,309.83x = 33,462.32 × 9,830.57
  4. Step 4: Simplify right side
    22,309.83x = 328,953,462.66
  5. Step 5: Solve for x
    x = 328,953,462.66/22,309.83
  6. Step 6: Final answer
    x = 14,744.78

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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.