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Finding the Fourth Proportional to 14,667.26, 20,235.50 and 9,634.21

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Solution

The fourth proportional to 14,667.26, 20,235.50 and 9,634.21 is: 13,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.26 : 20,235.50 = 9,634.21 : x
  2. Step 2: Convert to fraction form
    14,667.26/20,235.50 = 9,634.21/x
  3. Step 3: Cross multiply
    14,667.26x = 20,235.50 × 9,634.21
  4. Step 4: Simplify right side
    14,667.26x = 194,953,056.46
  5. Step 5: Solve for x
    x = 194,953,056.46/14,667.26
  6. Step 6: Final answer
    x = 13,291.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.