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Finding the Fourth Proportional to 17,647.04, 24,353 and 10,093.68

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Solution

The fourth proportional to 17,647.04, 24,353 and 10,093.68 is: 13,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.04 : 24,353 = 10,093.68 : x
  2. Step 2: Convert to fraction form
    17,647.04/24,353 = 10,093.68/x
  3. Step 3: Cross multiply
    17,647.04x = 24,353 × 10,093.68
  4. Step 4: Simplify right side
    17,647.04x = 245,811,389.04
  5. Step 5: Solve for x
    x = 245,811,389.04/17,647.04
  6. Step 6: Final answer
    x = 13,929.33

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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.