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Finding the Fourth Proportional to 19,812.10, 29,719.08 and 8,117.14

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Solution

The fourth proportional to 19,812.10, 29,719.08 and 8,117.14 is: 12,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812.10 : 29,719.08 = 8,117.14 : x
  2. Step 2: Convert to fraction form
    19,812.10/29,719.08 = 8,117.14/x
  3. Step 3: Cross multiply
    19,812.10x = 29,719.08 × 8,117.14
  4. Step 4: Simplify right side
    19,812.10x = 241,233,933.03
  5. Step 5: Solve for x
    x = 241,233,933.03/19,812.10
  6. Step 6: Final answer
    x = 12,176.09

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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.