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Finding the Fourth Proportional to 16,314.21, 22,513.95 and 9,240.48

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Solution

The fourth proportional to 16,314.21, 22,513.95 and 9,240.48 is: 12,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.21 : 22,513.95 = 9,240.48 : x
  2. Step 2: Convert to fraction form
    16,314.21/22,513.95 = 9,240.48/x
  3. Step 3: Cross multiply
    16,314.21x = 22,513.95 × 9,240.48
  4. Step 4: Simplify right side
    16,314.21x = 208,039,704.70
  5. Step 5: Solve for x
    x = 208,039,704.70/16,314.21
  6. Step 6: Final answer
    x = 12,752.06

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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.