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Finding the Fourth Proportional to 29,586.41, 40,829.53 and 16,838.97

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Solution

The fourth proportional to 29,586.41, 40,829.53 and 16,838.97 is: 23,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.41 : 40,829.53 = 16,838.97 : x
  2. Step 2: Convert to fraction form
    29,586.41/40,829.53 = 16,838.97/x
  3. Step 3: Cross multiply
    29,586.41x = 40,829.53 × 16,838.97
  4. Step 4: Simplify right side
    29,586.41x = 687,527,146.59
  5. Step 5: Solve for x
    x = 687,527,146.59/29,586.41
  6. Step 6: Final answer
    x = 23,237.94

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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.