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Finding the Fourth Proportional to 17,406.09, 24,009.48 and 10,327.50

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Solution

The fourth proportional to 17,406.09, 24,009.48 and 10,327.50 is: 14,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.09 : 24,009.48 = 10,327.50 : x
  2. Step 2: Convert to fraction form
    17,406.09/24,009.48 = 10,327.50/x
  3. Step 3: Cross multiply
    17,406.09x = 24,009.48 × 10,327.50
  4. Step 4: Simplify right side
    17,406.09x = 247,957,904.70
  5. Step 5: Solve for x
    x = 247,957,904.70/17,406.09
  6. Step 6: Final answer
    x = 14,245.47

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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.