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Finding the Fourth Proportional to 13,882.30, 19,158.05 and 7,594.67

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Solution

The fourth proportional to 13,882.30, 19,158.05 and 7,594.67 is: 10,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.30 : 19,158.05 = 7,594.67 : x
  2. Step 2: Convert to fraction form
    13,882.30/19,158.05 = 7,594.67/x
  3. Step 3: Cross multiply
    13,882.30x = 19,158.05 × 7,594.67
  4. Step 4: Simplify right side
    13,882.30x = 145,499,029.62
  5. Step 5: Solve for x
    x = 145,499,029.62/13,882.30
  6. Step 6: Final answer
    x = 10,480.91

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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.