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Finding the Fourth Proportional to 16,297.38, 22,492.80 and 10,329.60

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Solution

The fourth proportional to 16,297.38, 22,492.80 and 10,329.60 is: 14,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.38 : 22,492.80 = 10,329.60 : x
  2. Step 2: Convert to fraction form
    16,297.38/22,492.80 = 10,329.60/x
  3. Step 3: Cross multiply
    16,297.38x = 22,492.80 × 10,329.60
  4. Step 4: Simplify right side
    16,297.38x = 232,341,626.88
  5. Step 5: Solve for x
    x = 232,341,626.88/16,297.38
  6. Step 6: Final answer
    x = 14,256.38

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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.