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Finding the Fourth Proportional to 12,693.99, 19,026.41 and 6,444.03

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Solution

The fourth proportional to 12,693.99, 19,026.41 and 6,444.03 is: 9,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.99 : 19,026.41 = 6,444.03 : x
  2. Step 2: Convert to fraction form
    12,693.99/19,026.41 = 6,444.03/x
  3. Step 3: Cross multiply
    12,693.99x = 19,026.41 × 6,444.03
  4. Step 4: Simplify right side
    12,693.99x = 122,606,724.61
  5. Step 5: Solve for x
    x = 122,606,724.61/12,693.99
  6. Step 6: Final answer
    x = 9,658.64

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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.