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Finding the Fourth Proportional to 13,470.16, 20,204.84 and 6,072.88

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Solution

The fourth proportional to 13,470.16, 20,204.84 and 6,072.88 is: 9,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.16 : 20,204.84 = 6,072.88 : x
  2. Step 2: Convert to fraction form
    13,470.16/20,204.84 = 6,072.88/x
  3. Step 3: Cross multiply
    13,470.16x = 20,204.84 × 6,072.88
  4. Step 4: Simplify right side
    13,470.16x = 122,701,568.74
  5. Step 5: Solve for x
    x = 122,701,568.74/13,470.16
  6. Step 6: Final answer
    x = 9,109.14

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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.