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Finding the Fourth Proportional to 21,137.16, 29,168.91 and 11,705.52

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Solution

The fourth proportional to 21,137.16, 29,168.91 and 11,705.52 is: 16,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.16 : 29,168.91 = 11,705.52 : x
  2. Step 2: Convert to fraction form
    21,137.16/29,168.91 = 11,705.52/x
  3. Step 3: Cross multiply
    21,137.16x = 29,168.91 × 11,705.52
  4. Step 4: Simplify right side
    21,137.16x = 341,437,259.38
  5. Step 5: Solve for x
    x = 341,437,259.38/21,137.16
  6. Step 6: Final answer
    x = 16,153.41

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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.