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Finding the Fourth Proportional to 27,703.67, 41,527.79 and 9,929.49

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Solution

The fourth proportional to 27,703.67, 41,527.79 and 9,929.49 is: 14,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,703.67 : 41,527.79 = 9,929.49 : x
  2. Step 2: Convert to fraction form
    27,703.67/41,527.79 = 9,929.49/x
  3. Step 3: Cross multiply
    27,703.67x = 41,527.79 × 9,929.49
  4. Step 4: Simplify right side
    27,703.67x = 412,349,607.39
  5. Step 5: Solve for x
    x = 412,349,607.39/27,703.67
  6. Step 6: Final answer
    x = 14,884.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.