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Finding the Fourth Proportional to 22,461.96, 33,649.16 and 13,675.08

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Solution

The fourth proportional to 22,461.96, 33,649.16 and 13,675.08 is: 20,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.96 : 33,649.16 = 13,675.08 : x
  2. Step 2: Convert to fraction form
    22,461.96/33,649.16 = 13,675.08/x
  3. Step 3: Cross multiply
    22,461.96x = 33,649.16 × 13,675.08
  4. Step 4: Simplify right side
    22,461.96x = 460,154,954.93
  5. Step 5: Solve for x
    x = 460,154,954.93/22,461.96
  6. Step 6: Final answer
    x = 20,485.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.