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Finding the Fourth Proportional to 14,565.42, 21,855.42 and 7,161.21

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Solution

The fourth proportional to 14,565.42, 21,855.42 and 7,161.21 is: 10,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.42 : 21,855.42 = 7,161.21 : x
  2. Step 2: Convert to fraction form
    14,565.42/21,855.42 = 7,161.21/x
  3. Step 3: Cross multiply
    14,565.42x = 21,855.42 × 7,161.21
  4. Step 4: Simplify right side
    14,565.42x = 156,511,252.26
  5. Step 5: Solve for x
    x = 156,511,252.26/14,565.42
  6. Step 6: Final answer
    x = 10,745.40

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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.