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Finding the Fourth Proportional to 20,270.64, 27,970.84 and 13,206.62

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Solution

The fourth proportional to 20,270.64, 27,970.84 and 13,206.62 is: 18,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.64 : 27,970.84 = 13,206.62 : x
  2. Step 2: Convert to fraction form
    20,270.64/27,970.84 = 13,206.62/x
  3. Step 3: Cross multiply
    20,270.64x = 27,970.84 × 13,206.62
  4. Step 4: Simplify right side
    20,270.64x = 369,400,254.96
  5. Step 5: Solve for x
    x = 369,400,254.96/20,270.64
  6. Step 6: Final answer
    x = 18,223.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.