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Finding the Fourth Proportional to 19,534.11, 29,302.52 and 7,847.32

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Solution

The fourth proportional to 19,534.11, 29,302.52 and 7,847.32 is: 11,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.11 : 29,302.52 = 7,847.32 : x
  2. Step 2: Convert to fraction form
    19,534.11/29,302.52 = 7,847.32/x
  3. Step 3: Cross multiply
    19,534.11x = 29,302.52 × 7,847.32
  4. Step 4: Simplify right side
    19,534.11x = 229,946,251.25
  5. Step 5: Solve for x
    x = 229,946,251.25/19,534.11
  6. Step 6: Final answer
    x = 11,771.52

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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.