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Finding the Fourth Proportional to 13,833.80, 19,090.84 and 7,865.45

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Solution

The fourth proportional to 13,833.80, 19,090.84 and 7,865.45 is: 10,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.80 : 19,090.84 = 7,865.45 : x
  2. Step 2: Convert to fraction form
    13,833.80/19,090.84 = 7,865.45/x
  3. Step 3: Cross multiply
    13,833.80x = 19,090.84 × 7,865.45
  4. Step 4: Simplify right side
    13,833.80x = 150,158,126.08
  5. Step 5: Solve for x
    x = 150,158,126.08/13,833.80
  6. Step 6: Final answer
    x = 10,854.44

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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.