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Finding the Fourth Proportional to 29,695.86, 40,978.82 and 16,267.16

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Solution

The fourth proportional to 29,695.86, 40,978.82 and 16,267.16 is: 22,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695.86 : 40,978.82 = 16,267.16 : x
  2. Step 2: Convert to fraction form
    29,695.86/40,978.82 = 16,267.16/x
  3. Step 3: Cross multiply
    29,695.86x = 40,978.82 × 16,267.16
  4. Step 4: Simplify right side
    29,695.86x = 666,609,021.55
  5. Step 5: Solve for x
    x = 666,609,021.55/29,695.86
  6. Step 6: Final answer
    x = 22,447.88

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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.