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Finding the Fourth Proportional to 16,739.95, 23,101.42 and 9,186.98

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Solution

The fourth proportional to 16,739.95, 23,101.42 and 9,186.98 is: 12,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,739.95 : 23,101.42 = 9,186.98 : x
  2. Step 2: Convert to fraction form
    16,739.95/23,101.42 = 9,186.98/x
  3. Step 3: Cross multiply
    16,739.95x = 23,101.42 × 9,186.98
  4. Step 4: Simplify right side
    16,739.95x = 212,232,335.25
  5. Step 5: Solve for x
    x = 212,232,335.25/16,739.95
  6. Step 6: Final answer
    x = 12,678.19

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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.