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Finding the Fourth Proportional to 16,385.22, 22,610.88 and 9,312.30

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Solution

The fourth proportional to 16,385.22, 22,610.88 and 9,312.30 is: 12,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.22 : 22,610.88 = 9,312.30 : x
  2. Step 2: Convert to fraction form
    16,385.22/22,610.88 = 9,312.30/x
  3. Step 3: Cross multiply
    16,385.22x = 22,610.88 × 9,312.30
  4. Step 4: Simplify right side
    16,385.22x = 210,559,297.82
  5. Step 5: Solve for x
    x = 210,559,297.82/16,385.22
  6. Step 6: Final answer
    x = 12,850.56

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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.