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Finding the Fourth Proportional to 17,702.46, 24,430.09 and 9,745.43

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Solution

The fourth proportional to 17,702.46, 24,430.09 and 9,745.43 is: 13,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.46 : 24,430.09 = 9,745.43 : x
  2. Step 2: Convert to fraction form
    17,702.46/24,430.09 = 9,745.43/x
  3. Step 3: Cross multiply
    17,702.46x = 24,430.09 × 9,745.43
  4. Step 4: Simplify right side
    17,702.46x = 238,081,634.20
  5. Step 5: Solve for x
    x = 238,081,634.20/17,702.46
  6. Step 6: Final answer
    x = 13,449.07

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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.