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Finding the Fourth Proportional to 16,952.14, 23,395.34 and 9,400.84

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Solution

The fourth proportional to 16,952.14, 23,395.34 and 9,400.84 is: 12,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.14 : 23,395.34 = 9,400.84 : x
  2. Step 2: Convert to fraction form
    16,952.14/23,395.34 = 9,400.84/x
  3. Step 3: Cross multiply
    16,952.14x = 23,395.34 × 9,400.84
  4. Step 4: Simplify right side
    16,952.14x = 219,935,848.09
  5. Step 5: Solve for x
    x = 219,935,848.09/16,952.14
  6. Step 6: Final answer
    x = 12,973.93

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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.