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Finding the Fourth Proportional to 16,208.15, 22,369.28 and 9,496.34

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Solution

The fourth proportional to 16,208.15, 22,369.28 and 9,496.34 is: 13,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.15 : 22,369.28 = 9,496.34 : x
  2. Step 2: Convert to fraction form
    16,208.15/22,369.28 = 9,496.34/x
  3. Step 3: Cross multiply
    16,208.15x = 22,369.28 × 9,496.34
  4. Step 4: Simplify right side
    16,208.15x = 212,426,200.33
  5. Step 5: Solve for x
    x = 212,426,200.33/16,208.15
  6. Step 6: Final answer
    x = 13,106.14

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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.