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Finding the Fourth Proportional to 19,537.64, 29,322.80 and 8,452.76

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Solution

The fourth proportional to 19,537.64, 29,322.80 and 8,452.76 is: 12,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.64 : 29,322.80 = 8,452.76 : x
  2. Step 2: Convert to fraction form
    19,537.64/29,322.80 = 8,452.76/x
  3. Step 3: Cross multiply
    19,537.64x = 29,322.80 × 8,452.76
  4. Step 4: Simplify right side
    19,537.64x = 247,858,590.93
  5. Step 5: Solve for x
    x = 247,858,590.93/19,537.64
  6. Step 6: Final answer
    x = 12,686.21

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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.