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Finding the Fourth Proportional to 13,102.29, 18,081.18 and 7,133.98

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Solution

The fourth proportional to 13,102.29, 18,081.18 and 7,133.98 is: 9,844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.29 : 18,081.18 = 7,133.98 : x
  2. Step 2: Convert to fraction form
    13,102.29/18,081.18 = 7,133.98/x
  3. Step 3: Cross multiply
    13,102.29x = 18,081.18 × 7,133.98
  4. Step 4: Simplify right side
    13,102.29x = 128,990,826.08
  5. Step 5: Solve for x
    x = 128,990,826.08/13,102.29
  6. Step 6: Final answer
    x = 9,844.91

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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.