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Finding the Fourth Proportional to 13,470.63, 20,207.13 and 4,112.76

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Solution

The fourth proportional to 13,470.63, 20,207.13 and 4,112.76 is: 6,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.63 : 20,207.13 = 4,112.76 : x
  2. Step 2: Convert to fraction form
    13,470.63/20,207.13 = 4,112.76/x
  3. Step 3: Cross multiply
    13,470.63x = 20,207.13 × 4,112.76
  4. Step 4: Simplify right side
    13,470.63x = 83,107,075.98
  5. Step 5: Solve for x
    x = 83,107,075.98/13,470.63
  6. Step 6: Final answer
    x = 6,169.50

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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.