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Finding the Fourth Proportional to 21,394.50, 29,522.14 and 11,832.87

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Solution

The fourth proportional to 21,394.50, 29,522.14 and 11,832.87 is: 16,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.50 : 29,522.14 = 11,832.87 : x
  2. Step 2: Convert to fraction form
    21,394.50/29,522.14 = 11,832.87/x
  3. Step 3: Cross multiply
    21,394.50x = 29,522.14 × 11,832.87
  4. Step 4: Simplify right side
    21,394.50x = 349,331,674.32
  5. Step 5: Solve for x
    x = 349,331,674.32/21,394.50
  6. Step 6: Final answer
    x = 16,328.10

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Why These Related Problems?

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