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Finding the Fourth Proportional to 20,502.58, 30,756.47 and 8,021.00

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Solution

The fourth proportional to 20,502.58, 30,756.47 and 8,021.00 is: 12,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.58 : 30,756.47 = 8,021.00 : x
  2. Step 2: Convert to fraction form
    20,502.58/30,756.47 = 8,021.00/x
  3. Step 3: Cross multiply
    20,502.58x = 30,756.47 × 8,021.00
  4. Step 4: Simplify right side
    20,502.58x = 246,697,618.71
  5. Step 5: Solve for x
    x = 246,697,618.71/20,502.58
  6. Step 6: Final answer
    x = 12,032.52

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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.