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Finding the Fourth Proportional to 17,703.97, 24,430.52 and 10,149.93

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Solution

The fourth proportional to 17,703.97, 24,430.52 and 10,149.93 is: 14,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.97 : 24,430.52 = 10,149.93 : x
  2. Step 2: Convert to fraction form
    17,703.97/24,430.52 = 10,149.93/x
  3. Step 3: Cross multiply
    17,703.97x = 24,430.52 × 10,149.93
  4. Step 4: Simplify right side
    17,703.97x = 247,968,093.24
  5. Step 5: Solve for x
    x = 247,968,093.24/17,703.97
  6. Step 6: Final answer
    x = 14,006.36

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1.5x scale

Why These Related Problems?

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