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Finding the Fourth Proportional to 27,859.68, 41,772.24 and 13,062.24

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Solution

The fourth proportional to 27,859.68, 41,772.24 and 13,062.24 is: 19,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.68 : 41,772.24 = 13,062.24 : x
  2. Step 2: Convert to fraction form
    27,859.68/41,772.24 = 13,062.24/x
  3. Step 3: Cross multiply
    27,859.68x = 41,772.24 × 13,062.24
  4. Step 4: Simplify right side
    27,859.68x = 545,639,024.22
  5. Step 5: Solve for x
    x = 545,639,024.22/27,859.68
  6. Step 6: Final answer
    x = 19,585.26

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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.