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Finding the Fourth Proportional to 13,064.68, 19,587.30 and 5,667.76

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Solution

The fourth proportional to 13,064.68, 19,587.30 and 5,667.76 is: 8,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.68 : 19,587.30 = 5,667.76 : x
  2. Step 2: Convert to fraction form
    13,064.68/19,587.30 = 5,667.76/x
  3. Step 3: Cross multiply
    13,064.68x = 19,587.30 × 5,667.76
  4. Step 4: Simplify right side
    13,064.68x = 111,016,115.45
  5. Step 5: Solve for x
    x = 111,016,115.45/13,064.68
  6. Step 6: Final answer
    x = 8,497.42

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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.