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Finding the Fourth Proportional to 17,338.65, 23,927.16 and 9,380.70

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Solution

The fourth proportional to 17,338.65, 23,927.16 and 9,380.70 is: 12,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.65 : 23,927.16 = 9,380.70 : x
  2. Step 2: Convert to fraction form
    17,338.65/23,927.16 = 9,380.70/x
  3. Step 3: Cross multiply
    17,338.65x = 23,927.16 × 9,380.70
  4. Step 4: Simplify right side
    17,338.65x = 224,453,509.81
  5. Step 5: Solve for x
    x = 224,453,509.81/17,338.65
  6. Step 6: Final answer
    x = 12,945.27

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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.