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Finding the Fourth Proportional to 21,538.70, 29,719.04 and 12,584.47

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Solution

The fourth proportional to 21,538.70, 29,719.04 and 12,584.47 is: 17,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.70 : 29,719.04 = 12,584.47 : x
  2. Step 2: Convert to fraction form
    21,538.70/29,719.04 = 12,584.47/x
  3. Step 3: Cross multiply
    21,538.70x = 29,719.04 × 12,584.47
  4. Step 4: Simplify right side
    21,538.70x = 373,998,367.31
  5. Step 5: Solve for x
    x = 373,998,367.31/21,538.70
  6. Step 6: Final answer
    x = 17,364.02

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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.