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Finding the Fourth Proportional to 16,381.22, 22,606.16 and 9,575.63

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Solution

The fourth proportional to 16,381.22, 22,606.16 and 9,575.63 is: 13,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.22 : 22,606.16 = 9,575.63 : x
  2. Step 2: Convert to fraction form
    16,381.22/22,606.16 = 9,575.63/x
  3. Step 3: Cross multiply
    16,381.22x = 22,606.16 × 9,575.63
  4. Step 4: Simplify right side
    16,381.22x = 216,468,147.74
  5. Step 5: Solve for x
    x = 216,468,147.74/16,381.22
  6. Step 6: Final answer
    x = 13,214.41

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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.