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Finding the Fourth Proportional to 15,667.12, 23,507.16 and 8,740

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Solution

The fourth proportional to 15,667.12, 23,507.16 and 8,740 is: 13,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.12 : 23,507.16 = 8,740 : x
  2. Step 2: Convert to fraction form
    15,667.12/23,507.16 = 8,740/x
  3. Step 3: Cross multiply
    15,667.12x = 23,507.16 × 8,740
  4. Step 4: Simplify right side
    15,667.12x = 205,452,578.40
  5. Step 5: Solve for x
    x = 205,452,578.40/15,667.12
  6. Step 6: Final answer
    x = 13,113.61

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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.