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Finding the Fourth Proportional to 29,119.74, 40,173.84 and 16,370

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Solution

The fourth proportional to 29,119.74, 40,173.84 and 16,370 is: 22,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,119.74 : 40,173.84 = 16,370 : x
  2. Step 2: Convert to fraction form
    29,119.74/40,173.84 = 16,370/x
  3. Step 3: Cross multiply
    29,119.74x = 40,173.84 × 16,370
  4. Step 4: Simplify right side
    29,119.74x = 657,645,760.80
  5. Step 5: Solve for x
    x = 657,645,760.80/29,119.74
  6. Step 6: Final answer
    x = 22,584.19

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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.