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Finding the Fourth Proportional to 20,696.66, 31,041.84 and 7,549.04

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Solution

The fourth proportional to 20,696.66, 31,041.84 and 7,549.04 is: 11,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.66 : 31,041.84 = 7,549.04 : x
  2. Step 2: Convert to fraction form
    20,696.66/31,041.84 = 7,549.04/x
  3. Step 3: Cross multiply
    20,696.66x = 31,041.84 × 7,549.04
  4. Step 4: Simplify right side
    20,696.66x = 234,336,091.83
  5. Step 5: Solve for x
    x = 234,336,091.83/20,696.66
  6. Step 6: Final answer
    x = 11,322.41

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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.