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Finding the Fourth Proportional to 16,652, 22,981.44 and 9,200

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Solution

The fourth proportional to 16,652, 22,981.44 and 9,200 is: 12,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652 : 22,981.44 = 9,200 : x
  2. Step 2: Convert to fraction form
    16,652/22,981.44 = 9,200/x
  3. Step 3: Cross multiply
    16,652x = 22,981.44 × 9,200
  4. Step 4: Simplify right side
    16,652x = 211,429,248
  5. Step 5: Solve for x
    x = 211,429,248/16,652
  6. Step 6: Final answer
    x = 12,696.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.