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Finding the Fourth Proportional to 21,421.81, 32,134.08 and 6,629.49

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Solution

The fourth proportional to 21,421.81, 32,134.08 and 6,629.49 is: 9,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.81 : 32,134.08 = 6,629.49 : x
  2. Step 2: Convert to fraction form
    21,421.81/32,134.08 = 6,629.49/x
  3. Step 3: Cross multiply
    21,421.81x = 32,134.08 × 6,629.49
  4. Step 4: Simplify right side
    21,421.81x = 213,032,376.49
  5. Step 5: Solve for x
    x = 213,032,376.49/21,421.81
  6. Step 6: Final answer
    x = 9,944.65

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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.