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Finding the Fourth Proportional to 20,270.34, 30,384.84 and 11,486.70

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Solution

The fourth proportional to 20,270.34, 30,384.84 and 11,486.70 is: 17,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.34 : 30,384.84 = 11,486.70 : x
  2. Step 2: Convert to fraction form
    20,270.34/30,384.84 = 11,486.70/x
  3. Step 3: Cross multiply
    20,270.34x = 30,384.84 × 11,486.70
  4. Step 4: Simplify right side
    20,270.34x = 349,021,541.63
  5. Step 5: Solve for x
    x = 349,021,541.63/20,270.34
  6. Step 6: Final answer
    x = 17,218.34

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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.