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Finding the Fourth Proportional to 19,838.52, 27,371.52 and 12,767.22

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Solution

The fourth proportional to 19,838.52, 27,371.52 and 12,767.22 is: 17,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.52 : 27,371.52 = 12,767.22 : x
  2. Step 2: Convert to fraction form
    19,838.52/27,371.52 = 12,767.22/x
  3. Step 3: Cross multiply
    19,838.52x = 27,371.52 × 12,767.22
  4. Step 4: Simplify right side
    19,838.52x = 349,458,217.57
  5. Step 5: Solve for x
    x = 349,458,217.57/19,838.52
  6. Step 6: Final answer
    x = 17,615.14

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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.