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Finding the Fourth Proportional to 21,612.78, 32,417.96 and 7,567.38

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Solution

The fourth proportional to 21,612.78, 32,417.96 and 7,567.38 is: 11,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.78 : 32,417.96 = 7,567.38 : x
  2. Step 2: Convert to fraction form
    21,612.78/32,417.96 = 7,567.38/x
  3. Step 3: Cross multiply
    21,612.78x = 32,417.96 × 7,567.38
  4. Step 4: Simplify right side
    21,612.78x = 245,318,984.31
  5. Step 5: Solve for x
    x = 245,318,984.31/21,612.78
  6. Step 6: Final answer
    x = 11,350.64

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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.