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Finding the Fourth Proportional to 20,485.93, 30,725.30 and 5,696.00

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Solution

The fourth proportional to 20,485.93, 30,725.30 and 5,696.00 is: 8,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.93 : 30,725.30 = 5,696.00 : x
  2. Step 2: Convert to fraction form
    20,485.93/30,725.30 = 5,696.00/x
  3. Step 3: Cross multiply
    20,485.93x = 30,725.30 × 5,696.00
  4. Step 4: Simplify right side
    20,485.93x = 175,011,182.20
  5. Step 5: Solve for x
    x = 175,011,182.20/20,485.93
  6. Step 6: Final answer
    x = 8,543.00

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