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Finding the Fourth Proportional to 19,683.44, 29,522.68 and 8,597.76

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Solution

The fourth proportional to 19,683.44, 29,522.68 and 8,597.76 is: 12,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.44 : 29,522.68 = 8,597.76 : x
  2. Step 2: Convert to fraction form
    19,683.44/29,522.68 = 8,597.76/x
  3. Step 3: Cross multiply
    19,683.44x = 29,522.68 × 8,597.76
  4. Step 4: Simplify right side
    19,683.44x = 253,828,917.20
  5. Step 5: Solve for x
    x = 253,828,917.20/19,683.44
  6. Step 6: Final answer
    x = 12,895.56

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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.