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Finding the Fourth Proportional to 23,214.49, 32,035.49 and 12,604.03

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Solution

The fourth proportional to 23,214.49, 32,035.49 and 12,604.03 is: 17,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.49 : 32,035.49 = 12,604.03 : x
  2. Step 2: Convert to fraction form
    23,214.49/32,035.49 = 12,604.03/x
  3. Step 3: Cross multiply
    23,214.49x = 32,035.49 × 12,604.03
  4. Step 4: Simplify right side
    23,214.49x = 403,776,277.02
  5. Step 5: Solve for x
    x = 403,776,277.02/23,214.49
  6. Step 6: Final answer
    x = 17,393.29

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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.