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Finding the Fourth Proportional to 14,416.81, 19,893.69 and 8,447.36

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Solution

The fourth proportional to 14,416.81, 19,893.69 and 8,447.36 is: 11,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.81 : 19,893.69 = 8,447.36 : x
  2. Step 2: Convert to fraction form
    14,416.81/19,893.69 = 8,447.36/x
  3. Step 3: Cross multiply
    14,416.81x = 19,893.69 × 8,447.36
  4. Step 4: Simplify right side
    14,416.81x = 168,049,061.69
  5. Step 5: Solve for x
    x = 168,049,061.69/14,416.81
  6. Step 6: Final answer
    x = 11,656.47

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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.