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Finding the Fourth Proportional to 13,424.84, 20,145.18 and 5,111.86

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Solution

The fourth proportional to 13,424.84, 20,145.18 and 5,111.86 is: 7,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.84 : 20,145.18 = 5,111.86 : x
  2. Step 2: Convert to fraction form
    13,424.84/20,145.18 = 5,111.86/x
  3. Step 3: Cross multiply
    13,424.84x = 20,145.18 × 5,111.86
  4. Step 4: Simplify right side
    13,424.84x = 102,979,339.83
  5. Step 5: Solve for x
    x = 102,979,339.83/13,424.84
  6. Step 6: Final answer
    x = 7,670.81

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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.