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Finding the Fourth Proportional to 13,394.27, 20,075.19 and 9,670.70

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Solution

The fourth proportional to 13,394.27, 20,075.19 and 9,670.70 is: 14,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.27 : 20,075.19 = 9,670.70 : x
  2. Step 2: Convert to fraction form
    13,394.27/20,075.19 = 9,670.70/x
  3. Step 3: Cross multiply
    13,394.27x = 20,075.19 × 9,670.70
  4. Step 4: Simplify right side
    13,394.27x = 194,141,039.56
  5. Step 5: Solve for x
    x = 194,141,039.56/13,394.27
  6. Step 6: Final answer
    x = 14,494.34

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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.