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Finding the Fourth Proportional to 12,497.78, 17,246.45 and 6,908.66

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Solution

The fourth proportional to 12,497.78, 17,246.45 and 6,908.66 is: 9,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.78 : 17,246.45 = 6,908.66 : x
  2. Step 2: Convert to fraction form
    12,497.78/17,246.45 = 6,908.66/x
  3. Step 3: Cross multiply
    12,497.78x = 17,246.45 × 6,908.66
  4. Step 4: Simplify right side
    12,497.78x = 119,149,859.26
  5. Step 5: Solve for x
    x = 119,149,859.26/12,497.78
  6. Step 6: Final answer
    x = 9,533.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.