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Finding the Fourth Proportional to 22,425.93, 30,947.64 and 12,354.09

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Solution

The fourth proportional to 22,425.93, 30,947.64 and 12,354.09 is: 17,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425.93 : 30,947.64 = 12,354.09 : x
  2. Step 2: Convert to fraction form
    22,425.93/30,947.64 = 12,354.09/x
  3. Step 3: Cross multiply
    22,425.93x = 30,947.64 × 12,354.09
  4. Step 4: Simplify right side
    22,425.93x = 382,329,929.85
  5. Step 5: Solve for x
    x = 382,329,929.85/22,425.93
  6. Step 6: Final answer
    x = 17,048.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.