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Finding the Fourth Proportional to 19,981.17, 29,971.73 and 5,941.14

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Solution

The fourth proportional to 19,981.17, 29,971.73 and 5,941.14 is: 8,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981.17 : 29,971.73 = 5,941.14 : x
  2. Step 2: Convert to fraction form
    19,981.17/29,971.73 = 5,941.14/x
  3. Step 3: Cross multiply
    19,981.17x = 29,971.73 × 5,941.14
  4. Step 4: Simplify right side
    19,981.17x = 178,066,146.43
  5. Step 5: Solve for x
    x = 178,066,146.43/19,981.17
  6. Step 6: Final answer
    x = 8,911.70

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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.