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Finding the Fourth Proportional to 19,526.16, 29,305.98 and 7,847.76

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Solution

The fourth proportional to 19,526.16, 29,305.98 and 7,847.76 is: 11,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,526.16 : 29,305.98 = 7,847.76 : x
  2. Step 2: Convert to fraction form
    19,526.16/29,305.98 = 7,847.76/x
  3. Step 3: Cross multiply
    19,526.16x = 29,305.98 × 7,847.76
  4. Step 4: Simplify right side
    19,526.16x = 229,986,297.60
  5. Step 5: Solve for x
    x = 229,986,297.60/19,526.16
  6. Step 6: Final answer
    x = 11,778.37

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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.