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Finding the Fourth Proportional to 14,471.52, 19,970.62 and 8,098.12

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Solution

The fourth proportional to 14,471.52, 19,970.62 and 8,098.12 is: 11,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.52 : 19,970.62 = 8,098.12 : x
  2. Step 2: Convert to fraction form
    14,471.52/19,970.62 = 8,098.12/x
  3. Step 3: Cross multiply
    14,471.52x = 19,970.62 × 8,098.12
  4. Step 4: Simplify right side
    14,471.52x = 161,724,477.23
  5. Step 5: Solve for x
    x = 161,724,477.23/14,471.52
  6. Step 6: Final answer
    x = 11,175.36

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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.