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Finding the Fourth Proportional to 21,584.74, 29,801.63 and 13,521.74

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Solution

The fourth proportional to 21,584.74, 29,801.63 and 13,521.74 is: 18,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.74 : 29,801.63 = 13,521.74 : x
  2. Step 2: Convert to fraction form
    21,584.74/29,801.63 = 13,521.74/x
  3. Step 3: Cross multiply
    21,584.74x = 29,801.63 × 13,521.74
  4. Step 4: Simplify right side
    21,584.74x = 402,969,796.25
  5. Step 5: Solve for x
    x = 402,969,796.25/21,584.74
  6. Step 6: Final answer
    x = 18,669.20

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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.