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Finding the Fourth Proportional to 21,496.84, 32,238.78 and 7,645

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Solution

The fourth proportional to 21,496.84, 32,238.78 and 7,645 is: 11,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.84 : 32,238.78 = 7,645 : x
  2. Step 2: Convert to fraction form
    21,496.84/32,238.78 = 7,645/x
  3. Step 3: Cross multiply
    21,496.84x = 32,238.78 × 7,645
  4. Step 4: Simplify right side
    21,496.84x = 246,465,473.10
  5. Step 5: Solve for x
    x = 246,465,473.10/21,496.84
  6. Step 6: Final answer
    x = 11,465.20

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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.