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Finding the Fourth Proportional to 14,549.01, 21,825.53 and 5,186.27

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Solution

The fourth proportional to 14,549.01, 21,825.53 and 5,186.27 is: 7,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.01 : 21,825.53 = 5,186.27 : x
  2. Step 2: Convert to fraction form
    14,549.01/21,825.53 = 5,186.27/x
  3. Step 3: Cross multiply
    14,549.01x = 21,825.53 × 5,186.27
  4. Step 4: Simplify right side
    14,549.01x = 113,193,091.47
  5. Step 5: Solve for x
    x = 113,193,091.47/14,549.01
  6. Step 6: Final answer
    x = 7,780.12

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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.