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Finding the Fourth Proportional to 21,567.80, 32,351.72 and 6,778

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Solution

The fourth proportional to 21,567.80, 32,351.72 and 6,778 is: 10,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.80 : 32,351.72 = 6,778 : x
  2. Step 2: Convert to fraction form
    21,567.80/32,351.72 = 6,778/x
  3. Step 3: Cross multiply
    21,567.80x = 32,351.72 × 6,778
  4. Step 4: Simplify right side
    21,567.80x = 219,279,958.16
  5. Step 5: Solve for x
    x = 219,279,958.16/21,567.80
  6. Step 6: Final answer
    x = 10,167.01

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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.