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Finding the Fourth Proportional to 14,181.83, 21,285.88 and 7,166.78

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Solution

The fourth proportional to 14,181.83, 21,285.88 and 7,166.78 is: 10,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.83 : 21,285.88 = 7,166.78 : x
  2. Step 2: Convert to fraction form
    14,181.83/21,285.88 = 7,166.78/x
  3. Step 3: Cross multiply
    14,181.83x = 21,285.88 × 7,166.78
  4. Step 4: Simplify right side
    14,181.83x = 152,551,254.36
  5. Step 5: Solve for x
    x = 152,551,254.36/14,181.83
  6. Step 6: Final answer
    x = 10,756.81

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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.