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Finding the Fourth Proportional to 13,141.68, 19,707.78 and 6,563.37

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Solution

The fourth proportional to 13,141.68, 19,707.78 and 6,563.37 is: 9,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.68 : 19,707.78 = 6,563.37 : x
  2. Step 2: Convert to fraction form
    13,141.68/19,707.78 = 6,563.37/x
  3. Step 3: Cross multiply
    13,141.68x = 19,707.78 × 6,563.37
  4. Step 4: Simplify right side
    13,141.68x = 129,349,452.02
  5. Step 5: Solve for x
    x = 129,349,452.02/13,141.68
  6. Step 6: Final answer
    x = 9,842.69

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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.