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Finding the Fourth Proportional to 19,529.36, 29,294.03 and 4,738.14

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Solution

The fourth proportional to 19,529.36, 29,294.03 and 4,738.14 is: 7,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529.36 : 29,294.03 = 4,738.14 : x
  2. Step 2: Convert to fraction form
    19,529.36/29,294.03 = 4,738.14/x
  3. Step 3: Cross multiply
    19,529.36x = 29,294.03 × 4,738.14
  4. Step 4: Simplify right side
    19,529.36x = 138,799,191.61
  5. Step 5: Solve for x
    x = 138,799,191.61/19,529.36
  6. Step 6: Final answer
    x = 7,107.21

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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.