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Finding the Fourth Proportional to 14,091.08, 19,445.17 and 8,123.00

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Solution

The fourth proportional to 14,091.08, 19,445.17 and 8,123.00 is: 11,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.08 : 19,445.17 = 8,123.00 : x
  2. Step 2: Convert to fraction form
    14,091.08/19,445.17 = 8,123.00/x
  3. Step 3: Cross multiply
    14,091.08x = 19,445.17 × 8,123.00
  4. Step 4: Simplify right side
    14,091.08x = 157,952,998.38
  5. Step 5: Solve for x
    x = 157,952,998.38/14,091.08
  6. Step 6: Final answer
    x = 11,209.44

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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.