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Finding the Fourth Proportional to 12,298.39, 16,970.47 and 6,920.73

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Solution

The fourth proportional to 12,298.39, 16,970.47 and 6,920.73 is: 9,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.39 : 16,970.47 = 6,920.73 : x
  2. Step 2: Convert to fraction form
    12,298.39/16,970.47 = 6,920.73/x
  3. Step 3: Cross multiply
    12,298.39x = 16,970.47 × 6,920.73
  4. Step 4: Simplify right side
    12,298.39x = 117,448,065.97
  5. Step 5: Solve for x
    x = 117,448,065.97/12,298.39
  6. Step 6: Final answer
    x = 9,549.87

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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.