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Finding the Fourth Proportional to 20,036.46, 30,064.14 and 8,942.16

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Solution

The fourth proportional to 20,036.46, 30,064.14 and 8,942.16 is: 13,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036.46 : 30,064.14 = 8,942.16 : x
  2. Step 2: Convert to fraction form
    20,036.46/30,064.14 = 8,942.16/x
  3. Step 3: Cross multiply
    20,036.46x = 30,064.14 × 8,942.16
  4. Step 4: Simplify right side
    20,036.46x = 268,838,350.14
  5. Step 5: Solve for x
    x = 268,838,350.14/20,036.46
  6. Step 6: Final answer
    x = 13,417.46

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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.