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Finding the Fourth Proportional to 20,428.61, 30,651.75 and 8,585.46

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Solution

The fourth proportional to 20,428.61, 30,651.75 and 8,585.46 is: 12,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.61 : 30,651.75 = 8,585.46 : x
  2. Step 2: Convert to fraction form
    20,428.61/30,651.75 = 8,585.46/x
  3. Step 3: Cross multiply
    20,428.61x = 30,651.75 × 8,585.46
  4. Step 4: Simplify right side
    20,428.61x = 263,159,373.56
  5. Step 5: Solve for x
    x = 263,159,373.56/20,428.61
  6. Step 6: Final answer
    x = 12,881.91

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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.