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Finding the Fourth Proportional to 14,456.33, 21,667.98 and 6,564.86

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Solution

The fourth proportional to 14,456.33, 21,667.98 and 6,564.86 is: 9,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.33 : 21,667.98 = 6,564.86 : x
  2. Step 2: Convert to fraction form
    14,456.33/21,667.98 = 6,564.86/x
  3. Step 3: Cross multiply
    14,456.33x = 21,667.98 × 6,564.86
  4. Step 4: Simplify right side
    14,456.33x = 142,247,255.18
  5. Step 5: Solve for x
    x = 142,247,255.18/14,456.33
  6. Step 6: Final answer
    x = 9,839.79

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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.