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Finding the Fourth Proportional to 11,423.86, 17,140.34 and 4,029.08

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Solution

The fourth proportional to 11,423.86, 17,140.34 and 4,029.08 is: 6,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.86 : 17,140.34 = 4,029.08 : x
  2. Step 2: Convert to fraction form
    11,423.86/17,140.34 = 4,029.08/x
  3. Step 3: Cross multiply
    11,423.86x = 17,140.34 × 4,029.08
  4. Step 4: Simplify right side
    11,423.86x = 69,059,725.46
  5. Step 5: Solve for x
    x = 69,059,725.46/11,423.86
  6. Step 6: Final answer
    x = 6,045.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.