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Finding the Fourth Proportional to 13,111.84, 18,094.50 and 7,143.56

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Solution

The fourth proportional to 13,111.84, 18,094.50 and 7,143.56 is: 9,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.84 : 18,094.50 = 7,143.56 : x
  2. Step 2: Convert to fraction form
    13,111.84/18,094.50 = 7,143.56/x
  3. Step 3: Cross multiply
    13,111.84x = 18,094.50 × 7,143.56
  4. Step 4: Simplify right side
    13,111.84x = 129,259,146.42
  5. Step 5: Solve for x
    x = 129,259,146.42/13,111.84
  6. Step 6: Final answer
    x = 9,858.20

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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.