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Finding the Fourth Proportional to 22,326.05, 30,809.05 and 13,378.50

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Solution

The fourth proportional to 22,326.05, 30,809.05 and 13,378.50 is: 18,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.05 : 30,809.05 = 13,378.50 : x
  2. Step 2: Convert to fraction form
    22,326.05/30,809.05 = 13,378.50/x
  3. Step 3: Cross multiply
    22,326.05x = 30,809.05 × 13,378.50
  4. Step 4: Simplify right side
    22,326.05x = 412,178,841.98
  5. Step 5: Solve for x
    x = 412,178,841.98/22,326.05
  6. Step 6: Final answer
    x = 18,461.79

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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.