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Finding the Fourth Proportional to 20,437.84, 30,657.96 and 6,400.48

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Solution

The fourth proportional to 20,437.84, 30,657.96 and 6,400.48 is: 9,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,437.84 : 30,657.96 = 6,400.48 : x
  2. Step 2: Convert to fraction form
    20,437.84/30,657.96 = 6,400.48/x
  3. Step 3: Cross multiply
    20,437.84x = 30,657.96 × 6,400.48
  4. Step 4: Simplify right side
    20,437.84x = 196,225,659.82
  5. Step 5: Solve for x
    x = 196,225,659.82/20,437.84
  6. Step 6: Final answer
    x = 9,601.10

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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.