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Finding the Fourth Proportional to 21,354.54, 32,038.26 and 9,667.86

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Solution

The fourth proportional to 21,354.54, 32,038.26 and 9,667.86 is: 14,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.54 : 32,038.26 = 9,667.86 : x
  2. Step 2: Convert to fraction form
    21,354.54/32,038.26 = 9,667.86/x
  3. Step 3: Cross multiply
    21,354.54x = 32,038.26 × 9,667.86
  4. Step 4: Simplify right side
    21,354.54x = 309,741,412.32
  5. Step 5: Solve for x
    x = 309,741,412.32/21,354.54
  6. Step 6: Final answer
    x = 14,504.71

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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.