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Finding the Fourth Proportional to 14,484.96, 19,991.15 and 8,114.00

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Solution

The fourth proportional to 14,484.96, 19,991.15 and 8,114.00 is: 11,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.96 : 19,991.15 = 8,114.00 : x
  2. Step 2: Convert to fraction form
    14,484.96/19,991.15 = 8,114.00/x
  3. Step 3: Cross multiply
    14,484.96x = 19,991.15 × 8,114.00
  4. Step 4: Simplify right side
    14,484.96x = 162,208,050.57
  5. Step 5: Solve for x
    x = 162,208,050.57/14,484.96
  6. Step 6: Final answer
    x = 11,198.38

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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.