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Finding the Fourth Proportional to 14,696.58, 22,041.93 and 7,196.91

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Solution

The fourth proportional to 14,696.58, 22,041.93 and 7,196.91 is: 10,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.58 : 22,041.93 = 7,196.91 : x
  2. Step 2: Convert to fraction form
    14,696.58/22,041.93 = 7,196.91/x
  3. Step 3: Cross multiply
    14,696.58x = 22,041.93 × 7,196.91
  4. Step 4: Simplify right side
    14,696.58x = 158,633,786.44
  5. Step 5: Solve for x
    x = 158,633,786.44/14,696.58
  6. Step 6: Final answer
    x = 10,793.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.