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Finding the Fourth Proportional to 17,339.20, 23,931.20 and 10,269.12

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Solution

The fourth proportional to 17,339.20, 23,931.20 and 10,269.12 is: 14,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339.20 : 23,931.20 = 10,269.12 : x
  2. Step 2: Convert to fraction form
    17,339.20/23,931.20 = 10,269.12/x
  3. Step 3: Cross multiply
    17,339.20x = 23,931.20 × 10,269.12
  4. Step 4: Simplify right side
    17,339.20x = 245,752,364.54
  5. Step 5: Solve for x
    x = 245,752,364.54/17,339.20
  6. Step 6: Final answer
    x = 14,173.22

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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.