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Finding the Fourth Proportional to 13,424.46, 18,565.90 and 11,742.95

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Solution

The fourth proportional to 13,424.46, 18,565.90 and 11,742.95 is: 16,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.46 : 18,565.90 = 11,742.95 : x
  2. Step 2: Convert to fraction form
    13,424.46/18,565.90 = 11,742.95/x
  3. Step 3: Cross multiply
    13,424.46x = 18,565.90 × 11,742.95
  4. Step 4: Simplify right side
    13,424.46x = 218,018,435.41
  5. Step 5: Solve for x
    x = 218,018,435.41/13,424.46
  6. Step 6: Final answer
    x = 16,240.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.