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Finding the Fourth Proportional to 14,564.81, 21,850.86 and 4,176.56

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Solution

The fourth proportional to 14,564.81, 21,850.86 and 4,176.56 is: 6,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.81 : 21,850.86 = 4,176.56 : x
  2. Step 2: Convert to fraction form
    14,564.81/21,850.86 = 4,176.56/x
  3. Step 3: Cross multiply
    14,564.81x = 21,850.86 × 4,176.56
  4. Step 4: Simplify right side
    14,564.81x = 91,261,498.13
  5. Step 5: Solve for x
    x = 91,261,498.13/14,564.81
  6. Step 6: Final answer
    x = 6,265.89

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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.