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Finding the Fourth Proportional to 14,134.17, 19,505.22 and 8,832.06

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Solution

The fourth proportional to 14,134.17, 19,505.22 and 8,832.06 is: 12,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.17 : 19,505.22 = 8,832.06 : x
  2. Step 2: Convert to fraction form
    14,134.17/19,505.22 = 8,832.06/x
  3. Step 3: Cross multiply
    14,134.17x = 19,505.22 × 8,832.06
  4. Step 4: Simplify right side
    14,134.17x = 172,271,273.35
  5. Step 5: Solve for x
    x = 172,271,273.35/14,134.17
  6. Step 6: Final answer
    x = 12,188.28

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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.