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Finding the Fourth Proportional to 19,534.12, 29,301.98 and 5,683.12

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Solution

The fourth proportional to 19,534.12, 29,301.98 and 5,683.12 is: 8,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.12 : 29,301.98 = 5,683.12 : x
  2. Step 2: Convert to fraction form
    19,534.12/29,301.98 = 5,683.12/x
  3. Step 3: Cross multiply
    19,534.12x = 29,301.98 × 5,683.12
  4. Step 4: Simplify right side
    19,534.12x = 166,526,668.58
  5. Step 5: Solve for x
    x = 166,526,668.58/19,534.12
  6. Step 6: Final answer
    x = 8,524.91

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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.