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Finding the Fourth Proportional to 14,069.64, 19,416.04 and 8,099.12

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Solution

The fourth proportional to 14,069.64, 19,416.04 and 8,099.12 is: 11,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.64 : 19,416.04 = 8,099.12 : x
  2. Step 2: Convert to fraction form
    14,069.64/19,416.04 = 8,099.12/x
  3. Step 3: Cross multiply
    14,069.64x = 19,416.04 × 8,099.12
  4. Step 4: Simplify right side
    14,069.64x = 157,252,837.88
  5. Step 5: Solve for x
    x = 157,252,837.88/14,069.64
  6. Step 6: Final answer
    x = 11,176.75

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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.