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Finding the Fourth Proportional to 13,130.65, 19,684.96 and 5,729.48

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Solution

The fourth proportional to 13,130.65, 19,684.96 and 5,729.48 is: 8,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.65 : 19,684.96 = 5,729.48 : x
  2. Step 2: Convert to fraction form
    13,130.65/19,684.96 = 5,729.48/x
  3. Step 3: Cross multiply
    13,130.65x = 19,684.96 × 5,729.48
  4. Step 4: Simplify right side
    13,130.65x = 112,784,471.87
  5. Step 5: Solve for x
    x = 112,784,471.87/13,130.65
  6. Step 6: Final answer
    x = 8,589.41

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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.