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Finding the Fourth Proportional to 19,675, 29,518.28 and 5,824.36

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Solution

The fourth proportional to 19,675, 29,518.28 and 5,824.36 is: 8,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675 : 29,518.28 = 5,824.36 : x
  2. Step 2: Convert to fraction form
    19,675/29,518.28 = 5,824.36/x
  3. Step 3: Cross multiply
    19,675x = 29,518.28 × 5,824.36
  4. Step 4: Simplify right side
    19,675x = 171,925,089.30
  5. Step 5: Solve for x
    x = 171,925,089.30/19,675
  6. Step 6: Final answer
    x = 8,738.25

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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.