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Finding the Fourth Proportional to 14,175.52, 19,564.19 and 8,209.06

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Solution

The fourth proportional to 14,175.52, 19,564.19 and 8,209.06 is: 11,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.52 : 19,564.19 = 8,209.06 : x
  2. Step 2: Convert to fraction form
    14,175.52/19,564.19 = 8,209.06/x
  3. Step 3: Cross multiply
    14,175.52x = 19,564.19 × 8,209.06
  4. Step 4: Simplify right side
    14,175.52x = 160,603,609.56
  5. Step 5: Solve for x
    x = 160,603,609.56/14,175.52
  6. Step 6: Final answer
    x = 11,329.65

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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.