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Finding the Fourth Proportional to 21,499.74, 29,684.10 and 16,454.96

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Solution

The fourth proportional to 21,499.74, 29,684.10 and 16,454.96 is: 22,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.74 : 29,684.10 = 16,454.96 : x
  2. Step 2: Convert to fraction form
    21,499.74/29,684.10 = 16,454.96/x
  3. Step 3: Cross multiply
    21,499.74x = 29,684.10 × 16,454.96
  4. Step 4: Simplify right side
    21,499.74x = 488,450,702.74
  5. Step 5: Solve for x
    x = 488,450,702.74/21,499.74
  6. Step 6: Final answer
    x = 22,718.91

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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.