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Finding the Fourth Proportional to 20,326.10, 30,498.74 and 7,184.66

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Solution

The fourth proportional to 20,326.10, 30,498.74 and 7,184.66 is: 10,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,326.10 : 30,498.74 = 7,184.66 : x
  2. Step 2: Convert to fraction form
    20,326.10/30,498.74 = 7,184.66/x
  3. Step 3: Cross multiply
    20,326.10x = 30,498.74 × 7,184.66
  4. Step 4: Simplify right side
    20,326.10x = 219,123,041.41
  5. Step 5: Solve for x
    x = 219,123,041.41/20,326.10
  6. Step 6: Final answer
    x = 10,780.38

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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.