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Finding the Fourth Proportional to 12,102.16, 16,698 and 7,384.72

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Solution

The fourth proportional to 12,102.16, 16,698 and 7,384.72 is: 10,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.16 : 16,698 = 7,384.72 : x
  2. Step 2: Convert to fraction form
    12,102.16/16,698 = 7,384.72/x
  3. Step 3: Cross multiply
    12,102.16x = 16,698 × 7,384.72
  4. Step 4: Simplify right side
    12,102.16x = 123,310,054.56
  5. Step 5: Solve for x
    x = 123,310,054.56/12,102.16
  6. Step 6: Final answer
    x = 10,189.09

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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.