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Finding the Fourth Proportional to 20,538.46, 30,808.81 and 6,497.45

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Solution

The fourth proportional to 20,538.46, 30,808.81 and 6,497.45 is: 9,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.46 : 30,808.81 = 6,497.45 : x
  2. Step 2: Convert to fraction form
    20,538.46/30,808.81 = 6,497.45/x
  3. Step 3: Cross multiply
    20,538.46x = 30,808.81 × 6,497.45
  4. Step 4: Simplify right side
    20,538.46x = 200,178,532.25
  5. Step 5: Solve for x
    x = 200,178,532.25/20,538.46
  6. Step 6: Final answer
    x = 9,746.52

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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.