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Finding the Fourth Proportional to 20,289.46, 30,434.18 and 6,437.38

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Solution

The fourth proportional to 20,289.46, 30,434.18 and 6,437.38 is: 9,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.46 : 30,434.18 = 6,437.38 : x
  2. Step 2: Convert to fraction form
    20,289.46/30,434.18 = 6,437.38/x
  3. Step 3: Cross multiply
    20,289.46x = 30,434.18 × 6,437.38
  4. Step 4: Simplify right side
    20,289.46x = 195,916,381.65
  5. Step 5: Solve for x
    x = 195,916,381.65/20,289.46
  6. Step 6: Final answer
    x = 9,656.07

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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.