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Finding the Fourth Proportional to 21,578.14, 29,777.48 and 12,017.77

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Solution

The fourth proportional to 21,578.14, 29,777.48 and 12,017.77 is: 16,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.14 : 29,777.48 = 12,017.77 : x
  2. Step 2: Convert to fraction form
    21,578.14/29,777.48 = 12,017.77/x
  3. Step 3: Cross multiply
    21,578.14x = 29,777.48 × 12,017.77
  4. Step 4: Simplify right side
    21,578.14x = 357,858,696.84
  5. Step 5: Solve for x
    x = 357,858,696.84/21,578.14
  6. Step 6: Final answer
    x = 16,584.32

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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.