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Finding the Fourth Proportional to 27,305.71, 40,974.49 and 11,509.77

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Solution

The fourth proportional to 27,305.71, 40,974.49 and 11,509.77 is: 17,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,305.71 : 40,974.49 = 11,509.77 : x
  2. Step 2: Convert to fraction form
    27,305.71/40,974.49 = 11,509.77/x
  3. Step 3: Cross multiply
    27,305.71x = 40,974.49 × 11,509.77
  4. Step 4: Simplify right side
    27,305.71x = 471,607,123.81
  5. Step 5: Solve for x
    x = 471,607,123.81/27,305.71
  6. Step 6: Final answer
    x = 17,271.38

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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.