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Finding the Fourth Proportional to 18,581.16, 27,864.74 and 7,484.06

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Solution

The fourth proportional to 18,581.16, 27,864.74 and 7,484.06 is: 11,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581.16 : 27,864.74 = 7,484.06 : x
  2. Step 2: Convert to fraction form
    18,581.16/27,864.74 = 7,484.06/x
  3. Step 3: Cross multiply
    18,581.16x = 27,864.74 × 7,484.06
  4. Step 4: Simplify right side
    18,581.16x = 208,541,209.30
  5. Step 5: Solve for x
    x = 208,541,209.30/18,581.16
  6. Step 6: Final answer
    x = 11,223.26

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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.