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Finding the Fourth Proportional to 18,312.11, 27,459.07 and 5,830.50

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Solution

The fourth proportional to 18,312.11, 27,459.07 and 5,830.50 is: 8,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312.11 : 27,459.07 = 5,830.50 : x
  2. Step 2: Convert to fraction form
    18,312.11/27,459.07 = 5,830.50/x
  3. Step 3: Cross multiply
    18,312.11x = 27,459.07 × 5,830.50
  4. Step 4: Simplify right side
    18,312.11x = 160,100,217.89
  5. Step 5: Solve for x
    x = 160,100,217.89/18,312.11
  6. Step 6: Final answer
    x = 8,742.86

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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.