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Finding the Fourth Proportional to 11,071.30, 16,596.15 and 9,904.90

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Solution

The fourth proportional to 11,071.30, 16,596.15 and 9,904.90 is: 14,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.30 : 16,596.15 = 9,904.90 : x
  2. Step 2: Convert to fraction form
    11,071.30/16,596.15 = 9,904.90/x
  3. Step 3: Cross multiply
    11,071.30x = 16,596.15 × 9,904.90
  4. Step 4: Simplify right side
    11,071.30x = 164,383,206.14
  5. Step 5: Solve for x
    x = 164,383,206.14/11,071.30
  6. Step 6: Final answer
    x = 14,847.69

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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.