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Finding the Fourth Proportional to 19,834.70, 29,713.10 and 11,497.19

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Solution

The fourth proportional to 19,834.70, 29,713.10 and 11,497.19 is: 17,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.70 : 29,713.10 = 11,497.19 : x
  2. Step 2: Convert to fraction form
    19,834.70/29,713.10 = 11,497.19/x
  3. Step 3: Cross multiply
    19,834.70x = 29,713.10 × 11,497.19
  4. Step 4: Simplify right side
    19,834.70x = 341,617,214.28
  5. Step 5: Solve for x
    x = 341,617,214.28/19,834.70
  6. Step 6: Final answer
    x = 17,223.21

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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.