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Finding the Fourth Proportional to 19,970.38, 29,952.96 and 5,930.12

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Solution

The fourth proportional to 19,970.38, 29,952.96 and 5,930.12 is: 8,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.38 : 29,952.96 = 5,930.12 : x
  2. Step 2: Convert to fraction form
    19,970.38/29,952.96 = 5,930.12/x
  3. Step 3: Cross multiply
    19,970.38x = 29,952.96 × 5,930.12
  4. Step 4: Simplify right side
    19,970.38x = 177,624,647.16
  5. Step 5: Solve for x
    x = 177,624,647.16/19,970.38
  6. Step 6: Final answer
    x = 8,894.40

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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.