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Finding the Fourth Proportional to 14,329.78, 21,484.24 and 9,638.12

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Solution

The fourth proportional to 14,329.78, 21,484.24 and 9,638.12 is: 14,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.78 : 21,484.24 = 9,638.12 : x
  2. Step 2: Convert to fraction form
    14,329.78/21,484.24 = 9,638.12/x
  3. Step 3: Cross multiply
    14,329.78x = 21,484.24 × 9,638.12
  4. Step 4: Simplify right side
    14,329.78x = 207,067,712.84
  5. Step 5: Solve for x
    x = 207,067,712.84/14,329.78
  6. Step 6: Final answer
    x = 14,450.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.