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Finding the Fourth Proportional to 10,166.16, 14,018.22 and 8,828.04

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Solution

The fourth proportional to 10,166.16, 14,018.22 and 8,828.04 is: 12,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.16 : 14,018.22 = 8,828.04 : x
  2. Step 2: Convert to fraction form
    10,166.16/14,018.22 = 8,828.04/x
  3. Step 3: Cross multiply
    10,166.16x = 14,018.22 × 8,828.04
  4. Step 4: Simplify right side
    10,166.16x = 123,753,406.89
  5. Step 5: Solve for x
    x = 123,753,406.89/10,166.16
  6. Step 6: Final answer
    x = 12,173.07

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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.