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Finding the Fourth Proportional to 13,034.88, 19,529.19 and 4,709.70

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Solution

The fourth proportional to 13,034.88, 19,529.19 and 4,709.70 is: 7,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.88 : 19,529.19 = 4,709.70 : x
  2. Step 2: Convert to fraction form
    13,034.88/19,529.19 = 4,709.70/x
  3. Step 3: Cross multiply
    13,034.88x = 19,529.19 × 4,709.70
  4. Step 4: Simplify right side
    13,034.88x = 91,976,626.14
  5. Step 5: Solve for x
    x = 91,976,626.14/13,034.88
  6. Step 6: Final answer
    x = 7,056.19

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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.