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Finding the Fourth Proportional to 17,782.65, 26,690.71 and 9,023.85

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Solution

The fourth proportional to 17,782.65, 26,690.71 and 9,023.85 is: 13,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.65 : 26,690.71 = 9,023.85 : x
  2. Step 2: Convert to fraction form
    17,782.65/26,690.71 = 9,023.85/x
  3. Step 3: Cross multiply
    17,782.65x = 26,690.71 × 9,023.85
  4. Step 4: Simplify right side
    17,782.65x = 240,852,963.43
  5. Step 5: Solve for x
    x = 240,852,963.43/17,782.65
  6. Step 6: Final answer
    x = 13,544.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.