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Finding the Fourth Proportional to 27,978.84, 38,598.66 and 16,039.44

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Solution

The fourth proportional to 27,978.84, 38,598.66 and 16,039.44 is: 22,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.84 : 38,598.66 = 16,039.44 : x
  2. Step 2: Convert to fraction form
    27,978.84/38,598.66 = 16,039.44/x
  3. Step 3: Cross multiply
    27,978.84x = 38,598.66 × 16,039.44
  4. Step 4: Simplify right side
    27,978.84x = 619,100,891.15
  5. Step 5: Solve for x
    x = 619,100,891.15/27,978.84
  6. Step 6: Final answer
    x = 22,127.47

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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.