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Finding the Fourth Proportional to 29,927.81, 41,299.86 and 16,316

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Solution

The fourth proportional to 29,927.81, 41,299.86 and 16,316 is: 22,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,927.81 : 41,299.86 = 16,316 : x
  2. Step 2: Convert to fraction form
    29,927.81/41,299.86 = 16,316/x
  3. Step 3: Cross multiply
    29,927.81x = 41,299.86 × 16,316
  4. Step 4: Simplify right side
    29,927.81x = 673,848,515.76
  5. Step 5: Solve for x
    x = 673,848,515.76/29,927.81
  6. Step 6: Final answer
    x = 22,515.80

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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.