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Finding the Fourth Proportional to 11,937.38, 17,779.97 and 11,312.87

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Solution

The fourth proportional to 11,937.38, 17,779.97 and 11,312.87 is: 16,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.38 : 17,779.97 = 11,312.87 : x
  2. Step 2: Convert to fraction form
    11,937.38/17,779.97 = 11,312.87/x
  3. Step 3: Cross multiply
    11,937.38x = 17,779.97 × 11,312.87
  4. Step 4: Simplify right side
    11,937.38x = 201,142,428.60
  5. Step 5: Solve for x
    x = 201,142,428.60/11,937.38
  6. Step 6: Final answer
    x = 16,849.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.