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Finding the Fourth Proportional to 20,410, 30,614.88 and 6,559.04

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Solution

The fourth proportional to 20,410, 30,614.88 and 6,559.04 is: 9,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410 : 30,614.88 = 6,559.04 : x
  2. Step 2: Convert to fraction form
    20,410/30,614.88 = 6,559.04/x
  3. Step 3: Cross multiply
    20,410x = 30,614.88 × 6,559.04
  4. Step 4: Simplify right side
    20,410x = 200,804,222.52
  5. Step 5: Solve for x
    x = 200,804,222.52/20,410
  6. Step 6: Final answer
    x = 9,838.52

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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.