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Finding the Fourth Proportional to 27,281.72, 40,905.02 and 11,496.98

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Solution

The fourth proportional to 27,281.72, 40,905.02 and 11,496.98 is: 17,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,281.72 : 40,905.02 = 11,496.98 : x
  2. Step 2: Convert to fraction form
    27,281.72/40,905.02 = 11,496.98/x
  3. Step 3: Cross multiply
    27,281.72x = 40,905.02 × 11,496.98
  4. Step 4: Simplify right side
    27,281.72x = 470,284,196.84
  5. Step 5: Solve for x
    x = 470,284,196.84/27,281.72
  6. Step 6: Final answer
    x = 17,238.07

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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.