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Finding the Fourth Proportional to 13,851.96, 19,115.76 and 7,564.32

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Solution

The fourth proportional to 13,851.96, 19,115.76 and 7,564.32 is: 10,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.96 : 19,115.76 = 7,564.32 : x
  2. Step 2: Convert to fraction form
    13,851.96/19,115.76 = 7,564.32/x
  3. Step 3: Cross multiply
    13,851.96x = 19,115.76 × 7,564.32
  4. Step 4: Simplify right side
    13,851.96x = 144,597,725.68
  5. Step 5: Solve for x
    x = 144,597,725.68/13,851.96
  6. Step 6: Final answer
    x = 10,438.79

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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.