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Finding the Fourth Proportional to 16,302.41, 24,444.44 and 5,206.49

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Solution

The fourth proportional to 16,302.41, 24,444.44 and 5,206.49 is: 7,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.41 : 24,444.44 = 5,206.49 : x
  2. Step 2: Convert to fraction form
    16,302.41/24,444.44 = 5,206.49/x
  3. Step 3: Cross multiply
    16,302.41x = 24,444.44 × 5,206.49
  4. Step 4: Simplify right side
    16,302.41x = 127,269,706.38
  5. Step 5: Solve for x
    x = 127,269,706.38/16,302.41
  6. Step 6: Final answer
    x = 7,806.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.