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Finding the Fourth Proportional to 16,804.95, 23,191.10 and 9,635.50

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Solution

The fourth proportional to 16,804.95, 23,191.10 and 9,635.50 is: 13,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.95 : 23,191.10 = 9,635.50 : x
  2. Step 2: Convert to fraction form
    16,804.95/23,191.10 = 9,635.50/x
  3. Step 3: Cross multiply
    16,804.95x = 23,191.10 × 9,635.50
  4. Step 4: Simplify right side
    16,804.95x = 223,457,844.05
  5. Step 5: Solve for x
    x = 223,457,844.05/16,804.95
  6. Step 6: Final answer
    x = 13,297.14

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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.