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Finding the Fourth Proportional to 27,296.56, 37,666.20 and 15,364

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Solution

The fourth proportional to 27,296.56, 37,666.20 and 15,364 is: 21,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.56 : 37,666.20 = 15,364 : x
  2. Step 2: Convert to fraction form
    27,296.56/37,666.20 = 15,364/x
  3. Step 3: Cross multiply
    27,296.56x = 37,666.20 × 15,364
  4. Step 4: Simplify right side
    27,296.56x = 578,703,496.80
  5. Step 5: Solve for x
    x = 578,703,496.80/27,296.56
  6. Step 6: Final answer
    x = 21,200.60

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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.