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Finding the Fourth Proportional to 11,895.12, 17,820 and 8,199.36

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Solution

The fourth proportional to 11,895.12, 17,820 and 8,199.36 is: 12,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.12 : 17,820 = 8,199.36 : x
  2. Step 2: Convert to fraction form
    11,895.12/17,820 = 8,199.36/x
  3. Step 3: Cross multiply
    11,895.12x = 17,820 × 8,199.36
  4. Step 4: Simplify right side
    11,895.12x = 146,112,595.20
  5. Step 5: Solve for x
    x = 146,112,595.20/11,895.12
  6. Step 6: Final answer
    x = 12,283.41

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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.