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Finding the Fourth Proportional to 16,900.36, 23,316.78 and 9,820.96

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Solution

The fourth proportional to 16,900.36, 23,316.78 and 9,820.96 is: 13,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.36 : 23,316.78 = 9,820.96 : x
  2. Step 2: Convert to fraction form
    16,900.36/23,316.78 = 9,820.96/x
  3. Step 3: Cross multiply
    16,900.36x = 23,316.78 × 9,820.96
  4. Step 4: Simplify right side
    16,900.36x = 228,993,163.71
  5. Step 5: Solve for x
    x = 228,993,163.71/16,900.36
  6. Step 6: Final answer
    x = 13,549.60

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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.