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Finding the Fourth Proportional to 19,834.84, 29,733.28 and 7,351.51

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Solution

The fourth proportional to 19,834.84, 29,733.28 and 7,351.51 is: 11,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.84 : 29,733.28 = 7,351.51 : x
  2. Step 2: Convert to fraction form
    19,834.84/29,733.28 = 7,351.51/x
  3. Step 3: Cross multiply
    19,834.84x = 29,733.28 × 7,351.51
  4. Step 4: Simplify right side
    19,834.84x = 218,584,468.29
  5. Step 5: Solve for x
    x = 218,584,468.29/19,834.84
  6. Step 6: Final answer
    x = 11,020.23

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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.