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Finding the Fourth Proportional to 12,658.30, 18,974.88 and 7,116.28

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Solution

The fourth proportional to 12,658.30, 18,974.88 and 7,116.28 is: 10,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.30 : 18,974.88 = 7,116.28 : x
  2. Step 2: Convert to fraction form
    12,658.30/18,974.88 = 7,116.28/x
  3. Step 3: Cross multiply
    12,658.30x = 18,974.88 × 7,116.28
  4. Step 4: Simplify right side
    12,658.30x = 135,030,511.61
  5. Step 5: Solve for x
    x = 135,030,511.61/12,658.30
  6. Step 6: Final answer
    x = 10,667.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.