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Finding the Fourth Proportional to 13,805.84, 19,055.75 and 8,505.11

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Solution

The fourth proportional to 13,805.84, 19,055.75 and 8,505.11 is: 11,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.84 : 19,055.75 = 8,505.11 : x
  2. Step 2: Convert to fraction form
    13,805.84/19,055.75 = 8,505.11/x
  3. Step 3: Cross multiply
    13,805.84x = 19,055.75 × 8,505.11
  4. Step 4: Simplify right side
    13,805.84x = 162,071,112.08
  5. Step 5: Solve for x
    x = 162,071,112.08/13,805.84
  6. Step 6: Final answer
    x = 11,739.32

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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.