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Finding the Fourth Proportional to 14,116.16, 19,482.82 and 8,147

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Solution

The fourth proportional to 14,116.16, 19,482.82 and 8,147 is: 11,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.16 : 19,482.82 = 8,147 : x
  2. Step 2: Convert to fraction form
    14,116.16/19,482.82 = 8,147/x
  3. Step 3: Cross multiply
    14,116.16x = 19,482.82 × 8,147
  4. Step 4: Simplify right side
    14,116.16x = 158,726,534.54
  5. Step 5: Solve for x
    x = 158,726,534.54/14,116.16
  6. Step 6: Final answer
    x = 11,244.31

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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.