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Finding the Fourth Proportional to 19,840.39, 29,737.13 and 8,723.82

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Solution

The fourth proportional to 19,840.39, 29,737.13 and 8,723.82 is: 13,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.39 : 29,737.13 = 8,723.82 : x
  2. Step 2: Convert to fraction form
    19,840.39/29,737.13 = 8,723.82/x
  3. Step 3: Cross multiply
    19,840.39x = 29,737.13 × 8,723.82
  4. Step 4: Simplify right side
    19,840.39x = 259,421,437.33
  5. Step 5: Solve for x
    x = 259,421,437.33/19,840.39
  6. Step 6: Final answer
    x = 13,075.42

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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.