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Finding the Fourth Proportional to 20,045.67, 27,663.48 and 12,984.38

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Solution

The fourth proportional to 20,045.67, 27,663.48 and 12,984.38 is: 17,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.67 : 27,663.48 = 12,984.38 : x
  2. Step 2: Convert to fraction form
    20,045.67/27,663.48 = 12,984.38/x
  3. Step 3: Cross multiply
    20,045.67x = 27,663.48 × 12,984.38
  4. Step 4: Simplify right side
    20,045.67x = 359,193,071.52
  5. Step 5: Solve for x
    x = 359,193,071.52/20,045.67
  6. Step 6: Final answer
    x = 17,918.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.