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Finding the Fourth Proportional to 12,036.20, 16,609.65 and 6,658.50

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Solution

The fourth proportional to 12,036.20, 16,609.65 and 6,658.50 is: 9,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.20 : 16,609.65 = 6,658.50 : x
  2. Step 2: Convert to fraction form
    12,036.20/16,609.65 = 6,658.50/x
  3. Step 3: Cross multiply
    12,036.20x = 16,609.65 × 6,658.50
  4. Step 4: Simplify right side
    12,036.20x = 110,595,298.41
  5. Step 5: Solve for x
    x = 110,595,298.41/12,036.20
  6. Step 6: Final answer
    x = 9,188.56

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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.