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Finding the Fourth Proportional to 19,685.31, 29,519.07 and 5,642.13

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Solution

The fourth proportional to 19,685.31, 29,519.07 and 5,642.13 is: 8,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.31 : 29,519.07 = 5,642.13 : x
  2. Step 2: Convert to fraction form
    19,685.31/29,519.07 = 5,642.13/x
  3. Step 3: Cross multiply
    19,685.31x = 29,519.07 × 5,642.13
  4. Step 4: Simplify right side
    19,685.31x = 166,550,430.42
  5. Step 5: Solve for x
    x = 166,550,430.42/19,685.31
  6. Step 6: Final answer
    x = 8,460.65

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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.