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Finding the Fourth Proportional to 16,283.21, 22,467.91 and 9,570.18

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Solution

The fourth proportional to 16,283.21, 22,467.91 and 9,570.18 is: 13,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.21 : 22,467.91 = 9,570.18 : x
  2. Step 2: Convert to fraction form
    16,283.21/22,467.91 = 9,570.18/x
  3. Step 3: Cross multiply
    16,283.21x = 22,467.91 × 9,570.18
  4. Step 4: Simplify right side
    16,283.21x = 215,021,899.49
  5. Step 5: Solve for x
    x = 215,021,899.49/16,283.21
  6. Step 6: Final answer
    x = 13,205.13

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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.