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Finding the Fourth Proportional to 19,667.70, 29,501.55 and 9,137.70

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Solution

The fourth proportional to 19,667.70, 29,501.55 and 9,137.70 is: 13,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.70 : 29,501.55 = 9,137.70 : x
  2. Step 2: Convert to fraction form
    19,667.70/29,501.55 = 9,137.70/x
  3. Step 3: Cross multiply
    19,667.70x = 29,501.55 × 9,137.70
  4. Step 4: Simplify right side
    19,667.70x = 269,576,313.44
  5. Step 5: Solve for x
    x = 269,576,313.44/19,667.70
  6. Step 6: Final answer
    x = 13,706.55

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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.