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Finding the Fourth Proportional to 14,432.72, 19,906.36 and 9,716.09

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Solution

The fourth proportional to 14,432.72, 19,906.36 and 9,716.09 is: 13,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.72 : 19,906.36 = 9,716.09 : x
  2. Step 2: Convert to fraction form
    14,432.72/19,906.36 = 9,716.09/x
  3. Step 3: Cross multiply
    14,432.72x = 19,906.36 × 9,716.09
  4. Step 4: Simplify right side
    14,432.72x = 193,411,861.51
  5. Step 5: Solve for x
    x = 193,411,861.51/14,432.72
  6. Step 6: Final answer
    x = 13,400.93

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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.