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Finding the Fourth Proportional to 27,484.32, 41,231.04 and 9,012

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Solution

The fourth proportional to 27,484.32, 41,231.04 and 9,012 is: 13,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484.32 : 41,231.04 = 9,012 : x
  2. Step 2: Convert to fraction form
    27,484.32/41,231.04 = 9,012/x
  3. Step 3: Cross multiply
    27,484.32x = 41,231.04 × 9,012
  4. Step 4: Simplify right side
    27,484.32x = 371,574,132.48
  5. Step 5: Solve for x
    x = 371,574,132.48/27,484.32
  6. Step 6: Final answer
    x = 13,519.50

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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.