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Finding the Fourth Proportional to 13,851.87, 19,115.51 and 7,564.24

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Solution

The fourth proportional to 13,851.87, 19,115.51 and 7,564.24 is: 10,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.87 : 19,115.51 = 7,564.24 : x
  2. Step 2: Convert to fraction form
    13,851.87/19,115.51 = 7,564.24/x
  3. Step 3: Cross multiply
    13,851.87x = 19,115.51 × 7,564.24
  4. Step 4: Simplify right side
    13,851.87x = 144,594,305.36
  5. Step 5: Solve for x
    x = 144,594,305.36/13,851.87
  6. Step 6: Final answer
    x = 10,438.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.