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Finding the Fourth Proportional to 13,811.32, 19,059.74 and 7,523.70

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Solution

The fourth proportional to 13,811.32, 19,059.74 and 7,523.70 is: 10,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.32 : 19,059.74 = 7,523.70 : x
  2. Step 2: Convert to fraction form
    13,811.32/19,059.74 = 7,523.70/x
  3. Step 3: Cross multiply
    13,811.32x = 19,059.74 × 7,523.70
  4. Step 4: Simplify right side
    13,811.32x = 143,399,765.84
  5. Step 5: Solve for x
    x = 143,399,765.84/13,811.32
  6. Step 6: Final answer
    x = 10,382.77

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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.