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Finding the Fourth Proportional to 19,709.75, 29,547.04 and 7,226.86

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Solution

The fourth proportional to 19,709.75, 29,547.04 and 7,226.86 is: 10,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.75 : 29,547.04 = 7,226.86 : x
  2. Step 2: Convert to fraction form
    19,709.75/29,547.04 = 7,226.86/x
  3. Step 3: Cross multiply
    19,709.75x = 29,547.04 × 7,226.86
  4. Step 4: Simplify right side
    19,709.75x = 213,532,321.49
  5. Step 5: Solve for x
    x = 213,532,321.49/19,709.75
  6. Step 6: Final answer
    x = 10,833.84

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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.