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Finding the Fourth Proportional to 19,548.75, 29,323.13 and 7,859.23

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Solution

The fourth proportional to 19,548.75, 29,323.13 and 7,859.23 is: 11,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.75 : 29,323.13 = 7,859.23 : x
  2. Step 2: Convert to fraction form
    19,548.75/29,323.13 = 7,859.23/x
  3. Step 3: Cross multiply
    19,548.75x = 29,323.13 × 7,859.23
  4. Step 4: Simplify right side
    19,548.75x = 230,457,222.99
  5. Step 5: Solve for x
    x = 230,457,222.99/19,548.75
  6. Step 6: Final answer
    x = 11,788.85

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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.