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Finding the Fourth Proportional to 14,527.62, 21,752.28 and 9,234

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Solution

The fourth proportional to 14,527.62, 21,752.28 and 9,234 is: 13,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.62 : 21,752.28 = 9,234 : x
  2. Step 2: Convert to fraction form
    14,527.62/21,752.28 = 9,234/x
  3. Step 3: Cross multiply
    14,527.62x = 21,752.28 × 9,234
  4. Step 4: Simplify right side
    14,527.62x = 200,860,553.52
  5. Step 5: Solve for x
    x = 200,860,553.52/14,527.62
  6. Step 6: Final answer
    x = 13,826.12

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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.