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Finding the Fourth Proportional to 21,496.87, 32,233.47 and 11,513.32

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Solution

The fourth proportional to 21,496.87, 32,233.47 and 11,513.32 is: 17,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.87 : 32,233.47 = 11,513.32 : x
  2. Step 2: Convert to fraction form
    21,496.87/32,233.47 = 11,513.32/x
  3. Step 3: Cross multiply
    21,496.87x = 32,233.47 × 11,513.32
  4. Step 4: Simplify right side
    21,496.87x = 371,114,131.06
  5. Step 5: Solve for x
    x = 371,114,131.06/21,496.87
  6. Step 6: Final answer
    x = 17,263.63

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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.