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Finding the Fourth Proportional to 27,509.46, 37,984.85 and 17,955.91

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Solution

The fourth proportional to 27,509.46, 37,984.85 and 17,955.91 is: 24,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.46 : 37,984.85 = 17,955.91 : x
  2. Step 2: Convert to fraction form
    27,509.46/37,984.85 = 17,955.91/x
  3. Step 3: Cross multiply
    27,509.46x = 37,984.85 × 17,955.91
  4. Step 4: Simplify right side
    27,509.46x = 682,052,547.96
  5. Step 5: Solve for x
    x = 682,052,547.96/27,509.46
  6. Step 6: Final answer
    x = 24,793.38

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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.