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Finding the Fourth Proportional to 19,699.16, 29,561.04 and 8,012.38

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Solution

The fourth proportional to 19,699.16, 29,561.04 and 8,012.38 is: 12,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.16 : 29,561.04 = 8,012.38 : x
  2. Step 2: Convert to fraction form
    19,699.16/29,561.04 = 8,012.38/x
  3. Step 3: Cross multiply
    19,699.16x = 29,561.04 × 8,012.38
  4. Step 4: Simplify right side
    19,699.16x = 236,854,137.87
  5. Step 5: Solve for x
    x = 236,854,137.87/19,699.16
  6. Step 6: Final answer
    x = 12,023.57

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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.