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Finding the Fourth Proportional to 21,578.66, 29,787.75 and 14,509.17

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Solution

The fourth proportional to 21,578.66, 29,787.75 and 14,509.17 is: 20,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.66 : 29,787.75 = 14,509.17 : x
  2. Step 2: Convert to fraction form
    21,578.66/29,787.75 = 14,509.17/x
  3. Step 3: Cross multiply
    21,578.66x = 29,787.75 × 14,509.17
  4. Step 4: Simplify right side
    21,578.66x = 432,195,528.67
  5. Step 5: Solve for x
    x = 432,195,528.67/21,578.66
  6. Step 6: Final answer
    x = 20,028.84

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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.