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Finding the Fourth Proportional to 21,272.50, 29,356.06 and 11,841.08

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Solution

The fourth proportional to 21,272.50, 29,356.06 and 11,841.08 is: 16,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272.50 : 29,356.06 = 11,841.08 : x
  2. Step 2: Convert to fraction form
    21,272.50/29,356.06 = 11,841.08/x
  3. Step 3: Cross multiply
    21,272.50x = 29,356.06 × 11,841.08
  4. Step 4: Simplify right side
    21,272.50x = 347,607,454.94
  5. Step 5: Solve for x
    x = 347,607,454.94/21,272.50
  6. Step 6: Final answer
    x = 16,340.70

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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.