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Finding the Fourth Proportional to 17,702.92, 24,429.40 and 9,744.40

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Solution

The fourth proportional to 17,702.92, 24,429.40 and 9,744.40 is: 13,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.92 : 24,429.40 = 9,744.40 : x
  2. Step 2: Convert to fraction form
    17,702.92/24,429.40 = 9,744.40/x
  3. Step 3: Cross multiply
    17,702.92x = 24,429.40 × 9,744.40
  4. Step 4: Simplify right side
    17,702.92x = 238,049,845.36
  5. Step 5: Solve for x
    x = 238,049,845.36/17,702.92
  6. Step 6: Final answer
    x = 13,446.93

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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.