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Finding the Fourth Proportional to 19,561.14, 29,341.41 and 7,874.07

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Solution

The fourth proportional to 19,561.14, 29,341.41 and 7,874.07 is: 11,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.14 : 29,341.41 = 7,874.07 : x
  2. Step 2: Convert to fraction form
    19,561.14/29,341.41 = 7,874.07/x
  3. Step 3: Cross multiply
    19,561.14x = 29,341.41 × 7,874.07
  4. Step 4: Simplify right side
    19,561.14x = 231,036,316.24
  5. Step 5: Solve for x
    x = 231,036,316.24/19,561.14
  6. Step 6: Final answer
    x = 11,810.98

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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.