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Finding the Fourth Proportional to 29,425.86, 40,605.98 and 15,997

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Solution

The fourth proportional to 29,425.86, 40,605.98 and 15,997 is: 22,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.86 : 40,605.98 = 15,997 : x
  2. Step 2: Convert to fraction form
    29,425.86/40,605.98 = 15,997/x
  3. Step 3: Cross multiply
    29,425.86x = 40,605.98 × 15,997
  4. Step 4: Simplify right side
    29,425.86x = 649,573,862.06
  5. Step 5: Solve for x
    x = 649,573,862.06/29,425.86
  6. Step 6: Final answer
    x = 22,074.93

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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.