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Finding the Fourth Proportional to 30,142.92, 41,597.01 and 16,714.17

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Solution

The fourth proportional to 30,142.92, 41,597.01 and 16,714.17 is: 23,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.92 : 41,597.01 = 16,714.17 : x
  2. Step 2: Convert to fraction form
    30,142.92/41,597.01 = 16,714.17/x
  3. Step 3: Cross multiply
    30,142.92x = 41,597.01 × 16,714.17
  4. Step 4: Simplify right side
    30,142.92x = 695,259,496.63
  5. Step 5: Solve for x
    x = 695,259,496.63/30,142.92
  6. Step 6: Final answer
    x = 23,065.43

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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.