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Finding the Fourth Proportional to 13,107.57, 19,661.24 and 5,314.53

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Solution

The fourth proportional to 13,107.57, 19,661.24 and 5,314.53 is: 7,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.57 : 19,661.24 = 5,314.53 : x
  2. Step 2: Convert to fraction form
    13,107.57/19,661.24 = 5,314.53/x
  3. Step 3: Cross multiply
    13,107.57x = 19,661.24 × 5,314.53
  4. Step 4: Simplify right side
    13,107.57x = 104,490,223.24
  5. Step 5: Solve for x
    x = 104,490,223.24/13,107.57
  6. Step 6: Final answer
    x = 7,971.75

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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.