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Finding the Fourth Proportional to 16,476.50, 22,738.14 and 9,024.50

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Solution

The fourth proportional to 16,476.50, 22,738.14 and 9,024.50 is: 12,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.50 : 22,738.14 = 9,024.50 : x
  2. Step 2: Convert to fraction form
    16,476.50/22,738.14 = 9,024.50/x
  3. Step 3: Cross multiply
    16,476.50x = 22,738.14 × 9,024.50
  4. Step 4: Simplify right side
    16,476.50x = 205,200,344.43
  5. Step 5: Solve for x
    x = 205,200,344.43/16,476.50
  6. Step 6: Final answer
    x = 12,454.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.