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Finding the Fourth Proportional to 20,291.54, 30,437.30 and 9,894.38

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Solution

The fourth proportional to 20,291.54, 30,437.30 and 9,894.38 is: 14,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.54 : 30,437.30 = 9,894.38 : x
  2. Step 2: Convert to fraction form
    20,291.54/30,437.30 = 9,894.38/x
  3. Step 3: Cross multiply
    20,291.54x = 30,437.30 × 9,894.38
  4. Step 4: Simplify right side
    20,291.54x = 301,158,084.92
  5. Step 5: Solve for x
    x = 301,158,084.92/20,291.54
  6. Step 6: Final answer
    x = 14,841.56

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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.