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Finding the Fourth Proportional to 16,412.22, 22,647.60 and 9,697.32

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Solution

The fourth proportional to 16,412.22, 22,647.60 and 9,697.32 is: 13,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.22 : 22,647.60 = 9,697.32 : x
  2. Step 2: Convert to fraction form
    16,412.22/22,647.60 = 9,697.32/x
  3. Step 3: Cross multiply
    16,412.22x = 22,647.60 × 9,697.32
  4. Step 4: Simplify right side
    16,412.22x = 219,621,024.43
  5. Step 5: Solve for x
    x = 219,621,024.43/16,412.22
  6. Step 6: Final answer
    x = 13,381.55

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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.