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Finding the Fourth Proportional to 29,009.48, 40,040.34 and 17,825

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Solution

The fourth proportional to 29,009.48, 40,040.34 and 17,825 is: 24,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,009.48 : 40,040.34 = 17,825 : x
  2. Step 2: Convert to fraction form
    29,009.48/40,040.34 = 17,825/x
  3. Step 3: Cross multiply
    29,009.48x = 40,040.34 × 17,825
  4. Step 4: Simplify right side
    29,009.48x = 713,719,060.50
  5. Step 5: Solve for x
    x = 713,719,060.50/29,009.48
  6. Step 6: Final answer
    x = 24,602.96

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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.