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Finding the Fourth Proportional to 16,197.84, 22,358.61 and 9,485.63

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Solution

The fourth proportional to 16,197.84, 22,358.61 and 9,485.63 is: 13,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.84 : 22,358.61 = 9,485.63 : x
  2. Step 2: Convert to fraction form
    16,197.84/22,358.61 = 9,485.63/x
  3. Step 3: Cross multiply
    16,197.84x = 22,358.61 × 9,485.63
  4. Step 4: Simplify right side
    16,197.84x = 212,085,389.98
  5. Step 5: Solve for x
    x = 212,085,389.98/16,197.84
  6. Step 6: Final answer
    x = 13,093.44

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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.