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Finding the Fourth Proportional to 27,316, 37,695.46 and 15,216.40

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Solution

The fourth proportional to 27,316, 37,695.46 and 15,216.40 is: 20,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,316 : 37,695.46 = 15,216.40 : x
  2. Step 2: Convert to fraction form
    27,316/37,695.46 = 15,216.40/x
  3. Step 3: Cross multiply
    27,316x = 37,695.46 × 15,216.40
  4. Step 4: Simplify right side
    27,316x = 573,589,197.54
  5. Step 5: Solve for x
    x = 573,589,197.54/27,316
  6. Step 6: Final answer
    x = 20,998.29

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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.