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Finding the Fourth Proportional to 21,264.84, 29,344.98 and 11,833.20

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Solution

The fourth proportional to 21,264.84, 29,344.98 and 11,833.20 is: 16,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.84 : 29,344.98 = 11,833.20 : x
  2. Step 2: Convert to fraction form
    21,264.84/29,344.98 = 11,833.20/x
  3. Step 3: Cross multiply
    21,264.84x = 29,344.98 × 11,833.20
  4. Step 4: Simplify right side
    21,264.84x = 347,245,017.34
  5. Step 5: Solve for x
    x = 347,245,017.34/21,264.84
  6. Step 6: Final answer
    x = 16,329.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.