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Finding the Fourth Proportional to 14,214.04, 19,616.72 and 8,165.14

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Solution

The fourth proportional to 14,214.04, 19,616.72 and 8,165.14 is: 11,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.04 : 19,616.72 = 8,165.14 : x
  2. Step 2: Convert to fraction form
    14,214.04/19,616.72 = 8,165.14/x
  3. Step 3: Cross multiply
    14,214.04x = 19,616.72 × 8,165.14
  4. Step 4: Simplify right side
    14,214.04x = 160,173,175.27
  5. Step 5: Solve for x
    x = 160,173,175.27/14,214.04
  6. Step 6: Final answer
    x = 11,268.66

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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.