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Finding the Fourth Proportional to 18,316.50, 27,476.88 and 5,832.14

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Solution

The fourth proportional to 18,316.50, 27,476.88 and 5,832.14 is: 8,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,316.50 : 27,476.88 = 5,832.14 : x
  2. Step 2: Convert to fraction form
    18,316.50/27,476.88 = 5,832.14/x
  3. Step 3: Cross multiply
    18,316.50x = 27,476.88 × 5,832.14
  4. Step 4: Simplify right side
    18,316.50x = 160,249,010.92
  5. Step 5: Solve for x
    x = 160,249,010.92/18,316.50
  6. Step 6: Final answer
    x = 8,748.89

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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.