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Finding the Fourth Proportional to 19,538.55, 29,259.21 and 13,667.67

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Solution

The fourth proportional to 19,538.55, 29,259.21 and 13,667.67 is: 20,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.55 : 29,259.21 = 13,667.67 : x
  2. Step 2: Convert to fraction form
    19,538.55/29,259.21 = 13,667.67/x
  3. Step 3: Cross multiply
    19,538.55x = 29,259.21 × 13,667.67
  4. Step 4: Simplify right side
    19,538.55x = 399,905,226.74
  5. Step 5: Solve for x
    x = 399,905,226.74/19,538.55
  6. Step 6: Final answer
    x = 20,467.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.