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Finding the Fourth Proportional to 14,537.88, 21,816 and 10,147.68

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Solution

The fourth proportional to 14,537.88, 21,816 and 10,147.68 is: 15,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.88 : 21,816 = 10,147.68 : x
  2. Step 2: Convert to fraction form
    14,537.88/21,816 = 10,147.68/x
  3. Step 3: Cross multiply
    14,537.88x = 21,816 × 10,147.68
  4. Step 4: Simplify right side
    14,537.88x = 221,381,786.88
  5. Step 5: Solve for x
    x = 221,381,786.88/14,537.88
  6. Step 6: Final answer
    x = 15,227.93

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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.