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Finding the Fourth Proportional to 14,164.29, 19,502.37 and 12,035.61

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Solution

The fourth proportional to 14,164.29, 19,502.37 and 12,035.61 is: 16,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.29 : 19,502.37 = 12,035.61 : x
  2. Step 2: Convert to fraction form
    14,164.29/19,502.37 = 12,035.61/x
  3. Step 3: Cross multiply
    14,164.29x = 19,502.37 × 12,035.61
  4. Step 4: Simplify right side
    14,164.29x = 234,722,919.40
  5. Step 5: Solve for x
    x = 234,722,919.40/14,164.29
  6. Step 6: Final answer
    x = 16,571.46

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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.