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Finding the Fourth Proportional to 19,859.45, 29,781.36 and 7,206.19

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Solution

The fourth proportional to 19,859.45, 29,781.36 and 7,206.19 is: 10,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.45 : 29,781.36 = 7,206.19 : x
  2. Step 2: Convert to fraction form
    19,859.45/29,781.36 = 7,206.19/x
  3. Step 3: Cross multiply
    19,859.45x = 29,781.36 × 7,206.19
  4. Step 4: Simplify right side
    19,859.45x = 214,610,064.17
  5. Step 5: Solve for x
    x = 214,610,064.17/19,859.45
  6. Step 6: Final answer
    x = 10,806.45

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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.