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Finding the Fourth Proportional to 18,503.13, 27,758.12 and 5,856.07

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Solution

The fourth proportional to 18,503.13, 27,758.12 and 5,856.07 is: 8,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,503.13 : 27,758.12 = 5,856.07 : x
  2. Step 2: Convert to fraction form
    18,503.13/27,758.12 = 5,856.07/x
  3. Step 3: Cross multiply
    18,503.13x = 27,758.12 × 5,856.07
  4. Step 4: Simplify right side
    18,503.13x = 162,553,521.17
  5. Step 5: Solve for x
    x = 162,553,521.17/18,503.13
  6. Step 6: Final answer
    x = 8,785.19

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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.