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Finding the Fourth Proportional to 19,889.10, 29,832.98 and 5,098.16

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Solution

The fourth proportional to 19,889.10, 29,832.98 and 5,098.16 is: 7,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.10 : 29,832.98 = 5,098.16 : x
  2. Step 2: Convert to fraction form
    19,889.10/29,832.98 = 5,098.16/x
  3. Step 3: Cross multiply
    19,889.10x = 29,832.98 × 5,098.16
  4. Step 4: Simplify right side
    19,889.10x = 152,093,354.41
  5. Step 5: Solve for x
    x = 152,093,354.41/19,889.10
  6. Step 6: Final answer
    x = 7,647.07

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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.