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Finding the Fourth Proportional to 22,379.31, 30,882.80 and 12,307.74

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Solution

The fourth proportional to 22,379.31, 30,882.80 and 12,307.74 is: 16,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,379.31 : 30,882.80 = 12,307.74 : x
  2. Step 2: Convert to fraction form
    22,379.31/30,882.80 = 12,307.74/x
  3. Step 3: Cross multiply
    22,379.31x = 30,882.80 × 12,307.74
  4. Step 4: Simplify right side
    22,379.31x = 380,097,411.33
  5. Step 5: Solve for x
    x = 380,097,411.33/22,379.31
  6. Step 6: Final answer
    x = 16,984.32

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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.