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Finding the Fourth Proportional to 14,014.35, 19,340.24 and 8,047.22

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Solution

The fourth proportional to 14,014.35, 19,340.24 and 8,047.22 is: 11,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.35 : 19,340.24 = 8,047.22 : x
  2. Step 2: Convert to fraction form
    14,014.35/19,340.24 = 8,047.22/x
  3. Step 3: Cross multiply
    14,014.35x = 19,340.24 × 8,047.22
  4. Step 4: Simplify right side
    14,014.35x = 155,635,029.20
  5. Step 5: Solve for x
    x = 155,635,029.20/14,014.35
  6. Step 6: Final answer
    x = 11,105.40

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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.