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Finding the Fourth Proportional to 13,864.95, 19,131.71 and 7,896.33

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Solution

The fourth proportional to 13,864.95, 19,131.71 and 7,896.33 is: 10,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.95 : 19,131.71 = 7,896.33 : x
  2. Step 2: Convert to fraction form
    13,864.95/19,131.71 = 7,896.33/x
  3. Step 3: Cross multiply
    13,864.95x = 19,131.71 × 7,896.33
  4. Step 4: Simplify right side
    13,864.95x = 151,070,256.14
  5. Step 5: Solve for x
    x = 151,070,256.14/13,864.95
  6. Step 6: Final answer
    x = 10,895.84

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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.