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Finding the Fourth Proportional to 14,113.32, 19,471.98 and 8,144.22

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Solution

The fourth proportional to 14,113.32, 19,471.98 and 8,144.22 is: 11,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.32 : 19,471.98 = 8,144.22 : x
  2. Step 2: Convert to fraction form
    14,113.32/19,471.98 = 8,144.22/x
  3. Step 3: Cross multiply
    14,113.32x = 19,471.98 × 8,144.22
  4. Step 4: Simplify right side
    14,113.32x = 158,584,088.96
  5. Step 5: Solve for x
    x = 158,584,088.96/14,113.32
  6. Step 6: Final answer
    x = 11,236.48

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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.