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Finding the Fourth Proportional to 20,302.14, 30,410 and 11,532.54

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Solution

The fourth proportional to 20,302.14, 30,410 and 11,532.54 is: 17,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.14 : 30,410 = 11,532.54 : x
  2. Step 2: Convert to fraction form
    20,302.14/30,410 = 11,532.54/x
  3. Step 3: Cross multiply
    20,302.14x = 30,410 × 11,532.54
  4. Step 4: Simplify right side
    20,302.14x = 350,704,541.40
  5. Step 5: Solve for x
    x = 350,704,541.40/20,302.14
  6. Step 6: Final answer
    x = 17,274.26

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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.