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Finding the Fourth Proportional to 21,533.69, 29,716.30 and 12,102.23

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Solution

The fourth proportional to 21,533.69, 29,716.30 and 12,102.23 is: 16,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.69 : 29,716.30 = 12,102.23 : x
  2. Step 2: Convert to fraction form
    21,533.69/29,716.30 = 12,102.23/x
  3. Step 3: Cross multiply
    21,533.69x = 29,716.30 × 12,102.23
  4. Step 4: Simplify right side
    21,533.69x = 359,633,497.35
  5. Step 5: Solve for x
    x = 359,633,497.35/21,533.69
  6. Step 6: Final answer
    x = 16,700.97

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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.