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Finding the Fourth Proportional to 22,937.58, 31,660.41 and 13,511.58

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Solution

The fourth proportional to 22,937.58, 31,660.41 and 13,511.58 is: 18,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.58 : 31,660.41 = 13,511.58 : x
  2. Step 2: Convert to fraction form
    22,937.58/31,660.41 = 13,511.58/x
  3. Step 3: Cross multiply
    22,937.58x = 31,660.41 × 13,511.58
  4. Step 4: Simplify right side
    22,937.58x = 427,782,162.55
  5. Step 5: Solve for x
    x = 427,782,162.55/22,937.58
  6. Step 6: Final answer
    x = 18,649.84

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1.5x scale

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.