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Finding the Fourth Proportional to 16,184.88, 22,334.94 and 9,112.50

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Solution

The fourth proportional to 16,184.88, 22,334.94 and 9,112.50 is: 12,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.88 : 22,334.94 = 9,112.50 : x
  2. Step 2: Convert to fraction form
    16,184.88/22,334.94 = 9,112.50/x
  3. Step 3: Cross multiply
    16,184.88x = 22,334.94 × 9,112.50
  4. Step 4: Simplify right side
    16,184.88x = 203,527,140.75
  5. Step 5: Solve for x
    x = 203,527,140.75/16,184.88
  6. Step 6: Final answer
    x = 12,575.14

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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.