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Finding the Fourth Proportional to 21,441.40, 32,165.90 and 7,400.32

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Solution

The fourth proportional to 21,441.40, 32,165.90 and 7,400.32 is: 11,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.40 : 32,165.90 = 7,400.32 : x
  2. Step 2: Convert to fraction form
    21,441.40/32,165.90 = 7,400.32/x
  3. Step 3: Cross multiply
    21,441.40x = 32,165.90 × 7,400.32
  4. Step 4: Simplify right side
    21,441.40x = 238,037,953.09
  5. Step 5: Solve for x
    x = 238,037,953.09/21,441.40
  6. Step 6: Final answer
    x = 11,101.79

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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.