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Finding the Fourth Proportional to 19,473.68, 29,189.46 and 7,774.04

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Solution

The fourth proportional to 19,473.68, 29,189.46 and 7,774.04 is: 11,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473.68 : 29,189.46 = 7,774.04 : x
  2. Step 2: Convert to fraction form
    19,473.68/29,189.46 = 7,774.04/x
  3. Step 3: Cross multiply
    19,473.68x = 29,189.46 × 7,774.04
  4. Step 4: Simplify right side
    19,473.68x = 226,920,029.62
  5. Step 5: Solve for x
    x = 226,920,029.62/19,473.68
  6. Step 6: Final answer
    x = 11,652.65

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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.