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Finding the Fourth Proportional to 12,464.17, 18,692.55 and 4,671.16

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Solution

The fourth proportional to 12,464.17, 18,692.55 and 4,671.16 is: 7,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.17 : 18,692.55 = 4,671.16 : x
  2. Step 2: Convert to fraction form
    12,464.17/18,692.55 = 4,671.16/x
  3. Step 3: Cross multiply
    12,464.17x = 18,692.55 × 4,671.16
  4. Step 4: Simplify right side
    12,464.17x = 87,315,891.86
  5. Step 5: Solve for x
    x = 87,315,891.86/12,464.17
  6. Step 6: Final answer
    x = 7,005.35

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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.