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Finding the Fourth Proportional to 14,114.66, 19,478.86 and 8,448.33

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Solution

The fourth proportional to 14,114.66, 19,478.86 and 8,448.33 is: 11,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.66 : 19,478.86 = 8,448.33 : x
  2. Step 2: Convert to fraction form
    14,114.66/19,478.86 = 8,448.33/x
  3. Step 3: Cross multiply
    14,114.66x = 19,478.86 × 8,448.33
  4. Step 4: Simplify right side
    14,114.66x = 164,563,837.30
  5. Step 5: Solve for x
    x = 164,563,837.30/14,114.66
  6. Step 6: Final answer
    x = 11,659.07

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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.