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Finding the Fourth Proportional to 16,315.21, 22,515.60 and 9,047.49

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Solution

The fourth proportional to 16,315.21, 22,515.60 and 9,047.49 is: 12,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.21 : 22,515.60 = 9,047.49 : x
  2. Step 2: Convert to fraction form
    16,315.21/22,515.60 = 9,047.49/x
  3. Step 3: Cross multiply
    16,315.21x = 22,515.60 × 9,047.49
  4. Step 4: Simplify right side
    16,315.21x = 203,709,665.84
  5. Step 5: Solve for x
    x = 203,709,665.84/16,315.21
  6. Step 6: Final answer
    x = 12,485.87

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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.