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Finding the Fourth Proportional to 13,053.99, 19,605.69 and 8,157.99

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Solution

The fourth proportional to 13,053.99, 19,605.69 and 8,157.99 is: 12,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.99 : 19,605.69 = 8,157.99 : x
  2. Step 2: Convert to fraction form
    13,053.99/19,605.69 = 8,157.99/x
  3. Step 3: Cross multiply
    13,053.99x = 19,605.69 × 8,157.99
  4. Step 4: Simplify right side
    13,053.99x = 159,943,022.96
  5. Step 5: Solve for x
    x = 159,943,022.96/13,053.99
  6. Step 6: Final answer
    x = 12,252.42

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Why These Related Problems?

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