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Finding the Fourth Proportional to 21,602.75, 29,811.80 and 11,666.75

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Solution

The fourth proportional to 21,602.75, 29,811.80 and 11,666.75 is: 16,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.75 : 29,811.80 = 11,666.75 : x
  2. Step 2: Convert to fraction form
    21,602.75/29,811.80 = 11,666.75/x
  3. Step 3: Cross multiply
    21,602.75x = 29,811.80 × 11,666.75
  4. Step 4: Simplify right side
    21,602.75x = 347,806,817.65
  5. Step 5: Solve for x
    x = 347,806,817.65/21,602.75
  6. Step 6: Final answer
    x = 16,100.12

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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.