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Finding the Fourth Proportional to 22,850.38, 31,533.95 and 12,779.93

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Solution

The fourth proportional to 22,850.38, 31,533.95 and 12,779.93 is: 17,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,850.38 : 31,533.95 = 12,779.93 : x
  2. Step 2: Convert to fraction form
    22,850.38/31,533.95 = 12,779.93/x
  3. Step 3: Cross multiply
    22,850.38x = 31,533.95 × 12,779.93
  4. Step 4: Simplify right side
    22,850.38x = 403,001,609.72
  5. Step 5: Solve for x
    x = 403,001,609.72/22,850.38
  6. Step 6: Final answer
    x = 17,636.54

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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.