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Finding the Fourth Proportional to 14,178.72, 19,567.68 and 8,212.32

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Solution

The fourth proportional to 14,178.72, 19,567.68 and 8,212.32 is: 11,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.72 : 19,567.68 = 8,212.32 : x
  2. Step 2: Convert to fraction form
    14,178.72/19,567.68 = 8,212.32/x
  3. Step 3: Cross multiply
    14,178.72x = 19,567.68 × 8,212.32
  4. Step 4: Simplify right side
    14,178.72x = 160,696,049.82
  5. Step 5: Solve for x
    x = 160,696,049.82/14,178.72
  6. Step 6: Final answer
    x = 11,333.61

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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.