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Finding the Fourth Proportional to 21,629.96, 32,442.14 and 6,840.38

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Solution

The fourth proportional to 21,629.96, 32,442.14 and 6,840.38 is: 10,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,629.96 : 32,442.14 = 6,840.38 : x
  2. Step 2: Convert to fraction form
    21,629.96/32,442.14 = 6,840.38/x
  3. Step 3: Cross multiply
    21,629.96x = 32,442.14 × 6,840.38
  4. Step 4: Simplify right side
    21,629.96x = 221,916,565.61
  5. Step 5: Solve for x
    x = 221,916,565.61/21,629.96
  6. Step 6: Final answer
    x = 10,259.68

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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.