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Finding the Fourth Proportional to 29,711.42, 40,999.98 and 16,280

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Solution

The fourth proportional to 29,711.42, 40,999.98 and 16,280 is: 22,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.42 : 40,999.98 = 16,280 : x
  2. Step 2: Convert to fraction form
    29,711.42/40,999.98 = 16,280/x
  3. Step 3: Cross multiply
    29,711.42x = 40,999.98 × 16,280
  4. Step 4: Simplify right side
    29,711.42x = 667,479,674.40
  5. Step 5: Solve for x
    x = 667,479,674.40/29,711.42
  6. Step 6: Final answer
    x = 22,465.42

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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.