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Finding the Fourth Proportional to 19,983.79, 29,990.31 and 9,602.83

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Solution

The fourth proportional to 19,983.79, 29,990.31 and 9,602.83 is: 14,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.79 : 29,990.31 = 9,602.83 : x
  2. Step 2: Convert to fraction form
    19,983.79/29,990.31 = 9,602.83/x
  3. Step 3: Cross multiply
    19,983.79x = 29,990.31 × 9,602.83
  4. Step 4: Simplify right side
    19,983.79x = 287,991,848.58
  5. Step 5: Solve for x
    x = 287,991,848.58/19,983.79
  6. Step 6: Final answer
    x = 14,411.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.