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Finding the Fourth Proportional to 20,575.87, 30,860.64 and 6,534.08

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Solution

The fourth proportional to 20,575.87, 30,860.64 and 6,534.08 is: 9,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.87 : 30,860.64 = 6,534.08 : x
  2. Step 2: Convert to fraction form
    20,575.87/30,860.64 = 6,534.08/x
  3. Step 3: Cross multiply
    20,575.87x = 30,860.64 × 6,534.08
  4. Step 4: Simplify right side
    20,575.87x = 201,645,752.64
  5. Step 5: Solve for x
    x = 201,645,752.64/20,575.87
  6. Step 6: Final answer
    x = 9,800.11

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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.