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Finding the Fourth Proportional to 21,016, 31,502.74 and 13,625.16

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Solution

The fourth proportional to 21,016, 31,502.74 and 13,625.16 is: 20,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016 : 31,502.74 = 13,625.16 : x
  2. Step 2: Convert to fraction form
    21,016/31,502.74 = 13,625.16/x
  3. Step 3: Cross multiply
    21,016x = 31,502.74 × 13,625.16
  4. Step 4: Simplify right side
    21,016x = 429,229,872.94
  5. Step 5: Solve for x
    x = 429,229,872.94/21,016
  6. Step 6: Final answer
    x = 20,423.96

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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.