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Finding the Fourth Proportional to 14,454.88, 21,667.23 and 7,049.16

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Solution

The fourth proportional to 14,454.88, 21,667.23 and 7,049.16 is: 10,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.88 : 21,667.23 = 7,049.16 : x
  2. Step 2: Convert to fraction form
    14,454.88/21,667.23 = 7,049.16/x
  3. Step 3: Cross multiply
    14,454.88x = 21,667.23 × 7,049.16
  4. Step 4: Simplify right side
    14,454.88x = 152,735,771.03
  5. Step 5: Solve for x
    x = 152,735,771.03/14,454.88
  6. Step 6: Final answer
    x = 10,566.38

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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.