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Finding the Fourth Proportional to 20,437.56, 30,656.03 and 5,646.15

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Solution

The fourth proportional to 20,437.56, 30,656.03 and 5,646.15 is: 8,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,437.56 : 30,656.03 = 5,646.15 : x
  2. Step 2: Convert to fraction form
    20,437.56/30,656.03 = 5,646.15/x
  3. Step 3: Cross multiply
    20,437.56x = 30,656.03 × 5,646.15
  4. Step 4: Simplify right side
    20,437.56x = 173,088,362.27
  5. Step 5: Solve for x
    x = 173,088,362.27/20,437.56
  6. Step 6: Final answer
    x = 8,469.13

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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.