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Finding the Fourth Proportional to 19,985.96, 29,973.71 and 5,942.20

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Solution

The fourth proportional to 19,985.96, 29,973.71 and 5,942.20 is: 8,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.96 : 29,973.71 = 5,942.20 : x
  2. Step 2: Convert to fraction form
    19,985.96/29,973.71 = 5,942.20/x
  3. Step 3: Cross multiply
    19,985.96x = 29,973.71 × 5,942.20
  4. Step 4: Simplify right side
    19,985.96x = 178,109,859.98
  5. Step 5: Solve for x
    x = 178,109,859.98/19,985.96
  6. Step 6: Final answer
    x = 8,911.75

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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.