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Finding the Fourth Proportional to 29,712.51, 41,003.57 and 16,283.46

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Solution

The fourth proportional to 29,712.51, 41,003.57 and 16,283.46 is: 22,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.51 : 41,003.57 = 16,283.46 : x
  2. Step 2: Convert to fraction form
    29,712.51/41,003.57 = 16,283.46/x
  3. Step 3: Cross multiply
    29,712.51x = 41,003.57 × 16,283.46
  4. Step 4: Simplify right side
    29,712.51x = 667,680,186.42
  5. Step 5: Solve for x
    x = 667,680,186.42/29,712.51
  6. Step 6: Final answer
    x = 22,471.35

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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.