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Finding the Fourth Proportional to 13,178.16, 18,184.86 and 7,874.28

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Solution

The fourth proportional to 13,178.16, 18,184.86 and 7,874.28 is: 10,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.16 : 18,184.86 = 7,874.28 : x
  2. Step 2: Convert to fraction form
    13,178.16/18,184.86 = 7,874.28/x
  3. Step 3: Cross multiply
    13,178.16x = 18,184.86 × 7,874.28
  4. Step 4: Simplify right side
    13,178.16x = 143,192,679.40
  5. Step 5: Solve for x
    x = 143,192,679.40/13,178.16
  6. Step 6: Final answer
    x = 10,865.91

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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.