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Finding the Fourth Proportional to 21,504.84, 32,261.86 and 7,465.31

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Solution

The fourth proportional to 21,504.84, 32,261.86 and 7,465.31 is: 11,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.84 : 32,261.86 = 7,465.31 : x
  2. Step 2: Convert to fraction form
    21,504.84/32,261.86 = 7,465.31/x
  3. Step 3: Cross multiply
    21,504.84x = 32,261.86 × 7,465.31
  4. Step 4: Simplify right side
    21,504.84x = 240,844,755.08
  5. Step 5: Solve for x
    x = 240,844,755.08/21,504.84
  6. Step 6: Final answer
    x = 11,199.56

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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.