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Finding the Fourth Proportional to 14,730.24, 20,327.52 and 8,442.24

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Solution

The fourth proportional to 14,730.24, 20,327.52 and 8,442.24 is: 11,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.24 : 20,327.52 = 8,442.24 : x
  2. Step 2: Convert to fraction form
    14,730.24/20,327.52 = 8,442.24/x
  3. Step 3: Cross multiply
    14,730.24x = 20,327.52 × 8,442.24
  4. Step 4: Simplify right side
    14,730.24x = 171,609,802.44
  5. Step 5: Solve for x
    x = 171,609,802.44/14,730.24
  6. Step 6: Final answer
    x = 11,650.17

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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.