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Finding the Fourth Proportional to 27,381.72, 37,785.78 and 15,444.84

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Solution

The fourth proportional to 27,381.72, 37,785.78 and 15,444.84 is: 21,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.72 : 37,785.78 = 15,444.84 : x
  2. Step 2: Convert to fraction form
    27,381.72/37,785.78 = 15,444.84/x
  3. Step 3: Cross multiply
    27,381.72x = 37,785.78 × 15,444.84
  4. Step 4: Simplify right side
    27,381.72x = 583,595,326.38
  5. Step 5: Solve for x
    x = 583,595,326.38/27,381.72
  6. Step 6: Final answer
    x = 21,313.32

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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.