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Finding the Fourth Proportional to 14,417.62, 19,896.31 and 8,129.99

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Solution

The fourth proportional to 14,417.62, 19,896.31 and 8,129.99 is: 11,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.62 : 19,896.31 = 8,129.99 : x
  2. Step 2: Convert to fraction form
    14,417.62/19,896.31 = 8,129.99/x
  3. Step 3: Cross multiply
    14,417.62x = 19,896.31 × 8,129.99
  4. Step 4: Simplify right side
    14,417.62x = 161,756,801.34
  5. Step 5: Solve for x
    x = 161,756,801.34/14,417.62
  6. Step 6: Final answer
    x = 11,219.38

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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.