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Finding the Fourth Proportional to 13,794.84, 19,037.16 and 7,507.62

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Solution

The fourth proportional to 13,794.84, 19,037.16 and 7,507.62 is: 10,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.84 : 19,037.16 = 7,507.62 : x
  2. Step 2: Convert to fraction form
    13,794.84/19,037.16 = 7,507.62/x
  3. Step 3: Cross multiply
    13,794.84x = 19,037.16 × 7,507.62
  4. Step 4: Simplify right side
    13,794.84x = 142,923,763.16
  5. Step 5: Solve for x
    x = 142,923,763.16/13,794.84
  6. Step 6: Final answer
    x = 10,360.67

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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.