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Finding the Fourth Proportional to 13,437.66, 20,161.94 and 4,678.71

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Solution

The fourth proportional to 13,437.66, 20,161.94 and 4,678.71 is: 7,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.66 : 20,161.94 = 4,678.71 : x
  2. Step 2: Convert to fraction form
    13,437.66/20,161.94 = 4,678.71/x
  3. Step 3: Cross multiply
    13,437.66x = 20,161.94 × 4,678.71
  4. Step 4: Simplify right side
    13,437.66x = 94,331,846.90
  5. Step 5: Solve for x
    x = 94,331,846.90/13,437.66
  6. Step 6: Final answer
    x = 7,019.96

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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.