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Finding the Fourth Proportional to 13,833.94, 19,090.28 and 8,170.52

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Solution

The fourth proportional to 13,833.94, 19,090.28 and 8,170.52 is: 11,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.94 : 19,090.28 = 8,170.52 : x
  2. Step 2: Convert to fraction form
    13,833.94/19,090.28 = 8,170.52/x
  3. Step 3: Cross multiply
    13,833.94x = 19,090.28 × 8,170.52
  4. Step 4: Simplify right side
    13,833.94x = 155,977,526.95
  5. Step 5: Solve for x
    x = 155,977,526.95/13,833.94
  6. Step 6: Final answer
    x = 11,274.99

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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.