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Finding the Fourth Proportional to 16,511.40, 24,768.78 and 5,415.48

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Solution

The fourth proportional to 16,511.40, 24,768.78 and 5,415.48 is: 8,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.40 : 24,768.78 = 5,415.48 : x
  2. Step 2: Convert to fraction form
    16,511.40/24,768.78 = 5,415.48/x
  3. Step 3: Cross multiply
    16,511.40x = 24,768.78 × 5,415.48
  4. Step 4: Simplify right side
    16,511.40x = 134,134,832.71
  5. Step 5: Solve for x
    x = 134,134,832.71/16,511.40
  6. Step 6: Final answer
    x = 8,123.77

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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.