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Finding the Fourth Proportional to 19,971.40, 29,981.40 and 10,105.60

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Solution

The fourth proportional to 19,971.40, 29,981.40 and 10,105.60 is: 15,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971.40 : 29,981.40 = 10,105.60 : x
  2. Step 2: Convert to fraction form
    19,971.40/29,981.40 = 10,105.60/x
  3. Step 3: Cross multiply
    19,971.40x = 29,981.40 × 10,105.60
  4. Step 4: Simplify right side
    19,971.40x = 302,980,035.84
  5. Step 5: Solve for x
    x = 302,980,035.84/19,971.40
  6. Step 6: Final answer
    x = 15,170.70

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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.