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Finding the Fourth Proportional to 19,475.24, 29,214.90 and 9,605.03

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Solution

The fourth proportional to 19,475.24, 29,214.90 and 9,605.03 is: 14,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,475.24 : 29,214.90 = 9,605.03 : x
  2. Step 2: Convert to fraction form
    19,475.24/29,214.90 = 9,605.03/x
  3. Step 3: Cross multiply
    19,475.24x = 29,214.90 × 9,605.03
  4. Step 4: Simplify right side
    19,475.24x = 280,609,844.87
  5. Step 5: Solve for x
    x = 280,609,844.87/19,475.24
  6. Step 6: Final answer
    x = 14,408.55

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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.