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Finding the Fourth Proportional to 21,264, 29,352.24 and 15,974.10

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Solution

The fourth proportional to 21,264, 29,352.24 and 15,974.10 is: 22,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264 : 29,352.24 = 15,974.10 : x
  2. Step 2: Convert to fraction form
    21,264/29,352.24 = 15,974.10/x
  3. Step 3: Cross multiply
    21,264x = 29,352.24 × 15,974.10
  4. Step 4: Simplify right side
    21,264x = 468,875,616.98
  5. Step 5: Solve for x
    x = 468,875,616.98/21,264
  6. Step 6: Final answer
    x = 22,050.21

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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.