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Finding the Fourth Proportional to 17,703.09, 24,430.34 and 10,149.86

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Solution

The fourth proportional to 17,703.09, 24,430.34 and 10,149.86 is: 14,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.09 : 24,430.34 = 10,149.86 : x
  2. Step 2: Convert to fraction form
    17,703.09/24,430.34 = 10,149.86/x
  3. Step 3: Cross multiply
    17,703.09x = 24,430.34 × 10,149.86
  4. Step 4: Simplify right side
    17,703.09x = 247,964,617.20
  5. Step 5: Solve for x
    x = 247,964,617.20/17,703.09
  6. Step 6: Final answer
    x = 14,006.86

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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.