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Finding the Fourth Proportional to 19,464.60, 29,182.18 and 8,223.42

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Solution

The fourth proportional to 19,464.60, 29,182.18 and 8,223.42 is: 12,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464.60 : 29,182.18 = 8,223.42 : x
  2. Step 2: Convert to fraction form
    19,464.60/29,182.18 = 8,223.42/x
  3. Step 3: Cross multiply
    19,464.60x = 29,182.18 × 8,223.42
  4. Step 4: Simplify right side
    19,464.60x = 239,977,135.63
  5. Step 5: Solve for x
    x = 239,977,135.63/19,464.60
  6. Step 6: Final answer
    x = 12,328.90

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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.