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Finding the Fourth Proportional to 21,264.30, 29,369.16 and 14,178.42

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Solution

The fourth proportional to 21,264.30, 29,369.16 and 14,178.42 is: 19,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.30 : 29,369.16 = 14,178.42 : x
  2. Step 2: Convert to fraction form
    21,264.30/29,369.16 = 14,178.42/x
  3. Step 3: Cross multiply
    21,264.30x = 29,369.16 × 14,178.42
  4. Step 4: Simplify right side
    21,264.30x = 416,408,285.53
  5. Step 5: Solve for x
    x = 416,408,285.53/21,264.30
  6. Step 6: Final answer
    x = 19,582.51

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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.