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Finding the Fourth Proportional to 27,837.97, 38,417.97 and 16,514.17

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Solution

The fourth proportional to 27,837.97, 38,417.97 and 16,514.17 is: 22,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.97 : 38,417.97 = 16,514.17 : x
  2. Step 2: Convert to fraction form
    27,837.97/38,417.97 = 16,514.17/x
  3. Step 3: Cross multiply
    27,837.97x = 38,417.97 × 16,514.17
  4. Step 4: Simplify right side
    27,837.97x = 634,440,887.63
  5. Step 5: Solve for x
    x = 634,440,887.63/27,837.97
  6. Step 6: Final answer
    x = 22,790.49

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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.