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Finding the Fourth Proportional to 19,331.25, 29,000.52 and 8,943

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Solution

The fourth proportional to 19,331.25, 29,000.52 and 8,943 is: 13,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,331.25 : 29,000.52 = 8,943 : x
  2. Step 2: Convert to fraction form
    19,331.25/29,000.52 = 8,943/x
  3. Step 3: Cross multiply
    19,331.25x = 29,000.52 × 8,943
  4. Step 4: Simplify right side
    19,331.25x = 259,351,650.36
  5. Step 5: Solve for x
    x = 259,351,650.36/19,331.25
  6. Step 6: Final answer
    x = 13,416.19

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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.