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Finding the Fourth Proportional to 14,164.94, 21,244.53 and 13,462.40

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Solution

The fourth proportional to 14,164.94, 21,244.53 and 13,462.40 is: 20,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.94 : 21,244.53 = 13,462.40 : x
  2. Step 2: Convert to fraction form
    14,164.94/21,244.53 = 13,462.40/x
  3. Step 3: Cross multiply
    14,164.94x = 21,244.53 × 13,462.40
  4. Step 4: Simplify right side
    14,164.94x = 286,002,360.67
  5. Step 5: Solve for x
    x = 286,002,360.67/14,164.94
  6. Step 6: Final answer
    x = 20,190.86

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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.