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Finding the Fourth Proportional to 27,054.50, 40,598.36 and 11,472.13

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Solution

The fourth proportional to 27,054.50, 40,598.36 and 11,472.13 is: 17,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054.50 : 40,598.36 = 11,472.13 : x
  2. Step 2: Convert to fraction form
    27,054.50/40,598.36 = 11,472.13/x
  3. Step 3: Cross multiply
    27,054.50x = 40,598.36 × 11,472.13
  4. Step 4: Simplify right side
    27,054.50x = 465,749,403.35
  5. Step 5: Solve for x
    x = 465,749,403.35/27,054.50
  6. Step 6: Final answer
    x = 17,215.23

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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.