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Finding the Fourth Proportional to 29,014.48, 40,047.24 and 17,830

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Solution

The fourth proportional to 29,014.48, 40,047.24 and 17,830 is: 24,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,014.48 : 40,047.24 = 17,830 : x
  2. Step 2: Convert to fraction form
    29,014.48/40,047.24 = 17,830/x
  3. Step 3: Cross multiply
    29,014.48x = 40,047.24 × 17,830
  4. Step 4: Simplify right side
    29,014.48x = 714,042,289.20
  5. Step 5: Solve for x
    x = 714,042,289.20/29,014.48
  6. Step 6: Final answer
    x = 24,609.86

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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.