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Finding the Fourth Proportional to 29,184.94, 40,276.00 and 16,438.58

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Solution

The fourth proportional to 29,184.94, 40,276.00 and 16,438.58 is: 22,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184.94 : 40,276.00 = 16,438.58 : x
  2. Step 2: Convert to fraction form
    29,184.94/40,276.00 = 16,438.58/x
  3. Step 3: Cross multiply
    29,184.94x = 40,276.00 × 16,438.58
  4. Step 4: Simplify right side
    29,184.94x = 662,080,218.28
  5. Step 5: Solve for x
    x = 662,080,218.28/29,184.94
  6. Step 6: Final answer
    x = 22,685.68

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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.