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Finding the Fourth Proportional to 12,456.99, 17,193.87 and 7,154.73

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Solution

The fourth proportional to 12,456.99, 17,193.87 and 7,154.73 is: 9,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.99 : 17,193.87 = 7,154.73 : x
  2. Step 2: Convert to fraction form
    12,456.99/17,193.87 = 7,154.73/x
  3. Step 3: Cross multiply
    12,456.99x = 17,193.87 × 7,154.73
  4. Step 4: Simplify right side
    12,456.99x = 123,017,497.51
  5. Step 5: Solve for x
    x = 123,017,497.51/12,456.99
  6. Step 6: Final answer
    x = 9,875.38

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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.