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Finding the Fourth Proportional to 21,434.38, 32,155.84 and 6,647.84

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Solution

The fourth proportional to 21,434.38, 32,155.84 and 6,647.84 is: 9,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.38 : 32,155.84 = 6,647.84 : x
  2. Step 2: Convert to fraction form
    21,434.38/32,155.84 = 6,647.84/x
  3. Step 3: Cross multiply
    21,434.38x = 32,155.84 × 6,647.84
  4. Step 4: Simplify right side
    21,434.38x = 213,766,879.39
  5. Step 5: Solve for x
    x = 213,766,879.39/21,434.38
  6. Step 6: Final answer
    x = 9,973.08

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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.