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Finding the Fourth Proportional to 12,639.84, 17,442.95 and 6,974.58

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Solution

The fourth proportional to 12,639.84, 17,442.95 and 6,974.58 is: 9,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639.84 : 17,442.95 = 6,974.58 : x
  2. Step 2: Convert to fraction form
    12,639.84/17,442.95 = 6,974.58/x
  3. Step 3: Cross multiply
    12,639.84x = 17,442.95 × 6,974.58
  4. Step 4: Simplify right side
    12,639.84x = 121,657,245.57
  5. Step 5: Solve for x
    x = 121,657,245.57/12,639.84
  6. Step 6: Final answer
    x = 9,624.91

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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.