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Finding the Fourth Proportional to 16,185.71, 22,336.26 and 9,114.41

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Solution

The fourth proportional to 16,185.71, 22,336.26 and 9,114.41 is: 12,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.71 : 22,336.26 = 9,114.41 : x
  2. Step 2: Convert to fraction form
    16,185.71/22,336.26 = 9,114.41/x
  3. Step 3: Cross multiply
    16,185.71x = 22,336.26 × 9,114.41
  4. Step 4: Simplify right side
    16,185.71x = 203,581,831.51
  5. Step 5: Solve for x
    x = 203,581,831.51/16,185.71
  6. Step 6: Final answer
    x = 12,577.87

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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.