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Finding the Fourth Proportional to 21,651, 29,878.47 and 11,715

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Solution

The fourth proportional to 21,651, 29,878.47 and 11,715 is: 16,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651 : 29,878.47 = 11,715 : x
  2. Step 2: Convert to fraction form
    21,651/29,878.47 = 11,715/x
  3. Step 3: Cross multiply
    21,651x = 29,878.47 × 11,715
  4. Step 4: Simplify right side
    21,651x = 350,026,276.05
  5. Step 5: Solve for x
    x = 350,026,276.05/21,651
  6. Step 6: Final answer
    x = 16,166.75

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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.