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Finding the Fourth Proportional to 12,126.65, 18,193.21 and 5,102.93

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Solution

The fourth proportional to 12,126.65, 18,193.21 and 5,102.93 is: 7,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.65 : 18,193.21 = 5,102.93 : x
  2. Step 2: Convert to fraction form
    12,126.65/18,193.21 = 5,102.93/x
  3. Step 3: Cross multiply
    12,126.65x = 18,193.21 × 5,102.93
  4. Step 4: Simplify right side
    12,126.65x = 92,838,709.83
  5. Step 5: Solve for x
    x = 92,838,709.83/12,126.65
  6. Step 6: Final answer
    x = 7,655.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.