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Finding the Fourth Proportional to 16,684.14, 23,023.11 and 9,129.06

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Solution

The fourth proportional to 16,684.14, 23,023.11 and 9,129.06 is: 12,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.14 : 23,023.11 = 9,129.06 : x
  2. Step 2: Convert to fraction form
    16,684.14/23,023.11 = 9,129.06/x
  3. Step 3: Cross multiply
    16,684.14x = 23,023.11 × 9,129.06
  4. Step 4: Simplify right side
    16,684.14x = 210,179,352.58
  5. Step 5: Solve for x
    x = 210,179,352.58/16,684.14
  6. Step 6: Final answer
    x = 12,597.55

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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.