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Finding the Fourth Proportional to 27,943, 38,559 and 16,456.08

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Solution

The fourth proportional to 27,943, 38,559 and 16,456.08 is: 22,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943 : 38,559 = 16,456.08 : x
  2. Step 2: Convert to fraction form
    27,943/38,559 = 16,456.08/x
  3. Step 3: Cross multiply
    27,943x = 38,559 × 16,456.08
  4. Step 4: Simplify right side
    27,943x = 634,529,988.72
  5. Step 5: Solve for x
    x = 634,529,988.72/27,943
  6. Step 6: Final answer
    x = 22,708.01

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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.