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Finding the Fourth Proportional to 14,494.89, 21,741.65 and 5,134.75

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Solution

The fourth proportional to 14,494.89, 21,741.65 and 5,134.75 is: 7,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.89 : 21,741.65 = 5,134.75 : x
  2. Step 2: Convert to fraction form
    14,494.89/21,741.65 = 5,134.75/x
  3. Step 3: Cross multiply
    14,494.89x = 21,741.65 × 5,134.75
  4. Step 4: Simplify right side
    14,494.89x = 111,637,937.34
  5. Step 5: Solve for x
    x = 111,637,937.34/14,494.89
  6. Step 6: Final answer
    x = 7,701.88

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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.