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Finding the Fourth Proportional to 21,426.12, 32,135.94 and 7,575.12

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Solution

The fourth proportional to 21,426.12, 32,135.94 and 7,575.12 is: 11,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,426.12 : 32,135.94 = 7,575.12 : x
  2. Step 2: Convert to fraction form
    21,426.12/32,135.94 = 7,575.12/x
  3. Step 3: Cross multiply
    21,426.12x = 32,135.94 × 7,575.12
  4. Step 4: Simplify right side
    21,426.12x = 243,433,601.81
  5. Step 5: Solve for x
    x = 243,433,601.81/21,426.12
  6. Step 6: Final answer
    x = 11,361.53

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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.