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Finding the Fourth Proportional to 27,436.79, 37,857.77 and 16,106.76

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Solution

The fourth proportional to 27,436.79, 37,857.77 and 16,106.76 is: 22,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,436.79 : 37,857.77 = 16,106.76 : x
  2. Step 2: Convert to fraction form
    27,436.79/37,857.77 = 16,106.76/x
  3. Step 3: Cross multiply
    27,436.79x = 37,857.77 × 16,106.76
  4. Step 4: Simplify right side
    27,436.79x = 609,765,934.99
  5. Step 5: Solve for x
    x = 609,765,934.99/27,436.79
  6. Step 6: Final answer
    x = 22,224.39

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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.