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Finding the Fourth Proportional to 13,882.12, 19,156.87 and 7,594.09

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Solution

The fourth proportional to 13,882.12, 19,156.87 and 7,594.09 is: 10,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.12 : 19,156.87 = 7,594.09 : x
  2. Step 2: Convert to fraction form
    13,882.12/19,156.87 = 7,594.09/x
  3. Step 3: Cross multiply
    13,882.12x = 19,156.87 × 7,594.09
  4. Step 4: Simplify right side
    13,882.12x = 145,478,994.90
  5. Step 5: Solve for x
    x = 145,478,994.90/13,882.12
  6. Step 6: Final answer
    x = 10,479.59

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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.