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Finding the Fourth Proportional to 13,431.70, 18,535.74 and 7,381.90

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Solution

The fourth proportional to 13,431.70, 18,535.74 and 7,381.90 is: 10,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.70 : 18,535.74 = 7,381.90 : x
  2. Step 2: Convert to fraction form
    13,431.70/18,535.74 = 7,381.90/x
  3. Step 3: Cross multiply
    13,431.70x = 18,535.74 × 7,381.90
  4. Step 4: Simplify right side
    13,431.70x = 136,828,979.11
  5. Step 5: Solve for x
    x = 136,828,979.11/13,431.70
  6. Step 6: Final answer
    x = 10,187.02

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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.