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Finding the Fourth Proportional to 29,156.96, 40,232.76 and 16,410.80

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Solution

The fourth proportional to 29,156.96, 40,232.76 and 16,410.80 is: 22,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,156.96 : 40,232.76 = 16,410.80 : x
  2. Step 2: Convert to fraction form
    29,156.96/40,232.76 = 16,410.80/x
  3. Step 3: Cross multiply
    29,156.96x = 40,232.76 × 16,410.80
  4. Step 4: Simplify right side
    29,156.96x = 660,251,777.81
  5. Step 5: Solve for x
    x = 660,251,777.81/29,156.96
  6. Step 6: Final answer
    x = 22,644.74

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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.