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Finding the Fourth Proportional to 29,696.26, 40,978.68 and 16,265.34

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Solution

The fourth proportional to 29,696.26, 40,978.68 and 16,265.34 is: 22,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.26 : 40,978.68 = 16,265.34 : x
  2. Step 2: Convert to fraction form
    29,696.26/40,978.68 = 16,265.34/x
  3. Step 3: Cross multiply
    29,696.26x = 40,978.68 × 16,265.34
  4. Step 4: Simplify right side
    29,696.26x = 666,532,162.95
  5. Step 5: Solve for x
    x = 666,532,162.95/29,696.26
  6. Step 6: Final answer
    x = 22,444.99

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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.