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Finding the Fourth Proportional to 19,530.74, 29,297.47 and 9,667.37

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Solution

The fourth proportional to 19,530.74, 29,297.47 and 9,667.37 is: 14,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.74 : 29,297.47 = 9,667.37 : x
  2. Step 2: Convert to fraction form
    19,530.74/29,297.47 = 9,667.37/x
  3. Step 3: Cross multiply
    19,530.74x = 29,297.47 × 9,667.37
  4. Step 4: Simplify right side
    19,530.74x = 283,229,311.90
  5. Step 5: Solve for x
    x = 283,229,311.90/19,530.74
  6. Step 6: Final answer
    x = 14,501.72

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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.