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Finding the Fourth Proportional to 29,193.51, 40,284.75 and 16,446

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Solution

The fourth proportional to 29,193.51, 40,284.75 and 16,446 is: 22,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193.51 : 40,284.75 = 16,446 : x
  2. Step 2: Convert to fraction form
    29,193.51/40,284.75 = 16,446/x
  3. Step 3: Cross multiply
    29,193.51x = 40,284.75 × 16,446
  4. Step 4: Simplify right side
    29,193.51x = 662,522,998.50
  5. Step 5: Solve for x
    x = 662,522,998.50/29,193.51
  6. Step 6: Final answer
    x = 22,694.19

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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.