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Finding the Fourth Proportional to 29,270.74, 40,393.62 and 15,842

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Solution

The fourth proportional to 29,270.74, 40,393.62 and 15,842 is: 21,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270.74 : 40,393.62 = 15,842 : x
  2. Step 2: Convert to fraction form
    29,270.74/40,393.62 = 15,842/x
  3. Step 3: Cross multiply
    29,270.74x = 40,393.62 × 15,842
  4. Step 4: Simplify right side
    29,270.74x = 639,915,728.04
  5. Step 5: Solve for x
    x = 639,915,728.04/29,270.74
  6. Step 6: Final answer
    x = 21,861.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.