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Finding the Fourth Proportional to 21,533, 29,715 and 11,972.91

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Solution

The fourth proportional to 21,533, 29,715 and 11,972.91 is: 16,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533 : 29,715 = 11,972.91 : x
  2. Step 2: Convert to fraction form
    21,533/29,715 = 11,972.91/x
  3. Step 3: Cross multiply
    21,533x = 29,715 × 11,972.91
  4. Step 4: Simplify right side
    21,533x = 355,775,020.65
  5. Step 5: Solve for x
    x = 355,775,020.65/21,533
  6. Step 6: Final answer
    x = 16,522.32

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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.