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Finding the Fourth Proportional to 19,690.96, 29,538.96 and 6,364.48

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Solution

The fourth proportional to 19,690.96, 29,538.96 and 6,364.48 is: 9,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.96 : 29,538.96 = 6,364.48 : x
  2. Step 2: Convert to fraction form
    19,690.96/29,538.96 = 6,364.48/x
  3. Step 3: Cross multiply
    19,690.96x = 29,538.96 × 6,364.48
  4. Step 4: Simplify right side
    19,690.96x = 188,000,120.14
  5. Step 5: Solve for x
    x = 188,000,120.14/19,690.96
  6. Step 6: Final answer
    x = 9,547.53

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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.