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Finding the Fourth Proportional to 16,692.64, 23,035.86 and 10,405

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Solution

The fourth proportional to 16,692.64, 23,035.86 and 10,405 is: 14,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692.64 : 23,035.86 = 10,405 : x
  2. Step 2: Convert to fraction form
    16,692.64/23,035.86 = 10,405/x
  3. Step 3: Cross multiply
    16,692.64x = 23,035.86 × 10,405
  4. Step 4: Simplify right side
    16,692.64x = 239,688,123.30
  5. Step 5: Solve for x
    x = 239,688,123.30/16,692.64
  6. Step 6: Final answer
    x = 14,358.91

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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.