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Finding the Fourth Proportional to 12,312.85, 18,464.40 and 4,517.41

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Solution

The fourth proportional to 12,312.85, 18,464.40 and 4,517.41 is: 6,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.85 : 18,464.40 = 4,517.41 : x
  2. Step 2: Convert to fraction form
    12,312.85/18,464.40 = 4,517.41/x
  3. Step 3: Cross multiply
    12,312.85x = 18,464.40 × 4,517.41
  4. Step 4: Simplify right side
    12,312.85x = 83,411,265.20
  5. Step 5: Solve for x
    x = 83,411,265.20/12,312.85
  6. Step 6: Final answer
    x = 6,774.33

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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.