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Finding the Fourth Proportional to 21,078.78, 29,088.51 and 11,647.14

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Solution

The fourth proportional to 21,078.78, 29,088.51 and 11,647.14 is: 16,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.78 : 29,088.51 = 11,647.14 : x
  2. Step 2: Convert to fraction form
    21,078.78/29,088.51 = 11,647.14/x
  3. Step 3: Cross multiply
    21,078.78x = 29,088.51 × 11,647.14
  4. Step 4: Simplify right side
    21,078.78x = 338,797,948.36
  5. Step 5: Solve for x
    x = 338,797,948.36/21,078.78
  6. Step 6: Final answer
    x = 16,072.94

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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.