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Finding the Fourth Proportional to 14,357.15, 21,534.02 and 3,827.96

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Solution

The fourth proportional to 14,357.15, 21,534.02 and 3,827.96 is: 5,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.15 : 21,534.02 = 3,827.96 : x
  2. Step 2: Convert to fraction form
    14,357.15/21,534.02 = 3,827.96/x
  3. Step 3: Cross multiply
    14,357.15x = 21,534.02 × 3,827.96
  4. Step 4: Simplify right side
    14,357.15x = 82,431,416.25
  5. Step 5: Solve for x
    x = 82,431,416.25/14,357.15
  6. Step 6: Final answer
    x = 5,741.49

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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.