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Finding the Fourth Proportional to 29,684.06, 40,964.00 and 16,256.13

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Solution

The fourth proportional to 29,684.06, 40,964.00 and 16,256.13 is: 22,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.06 : 40,964.00 = 16,256.13 : x
  2. Step 2: Convert to fraction form
    29,684.06/40,964.00 = 16,256.13/x
  3. Step 3: Cross multiply
    29,684.06x = 40,964.00 × 16,256.13
  4. Step 4: Simplify right side
    29,684.06x = 665,916,028.04
  5. Step 5: Solve for x
    x = 665,916,028.04/29,684.06
  6. Step 6: Final answer
    x = 22,433.46

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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.