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Finding the Fourth Proportional to 18,024.30, 24,872.04 and 10,468.22

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Solution

The fourth proportional to 18,024.30, 24,872.04 and 10,468.22 is: 14,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.30 : 24,872.04 = 10,468.22 : x
  2. Step 2: Convert to fraction form
    18,024.30/24,872.04 = 10,468.22/x
  3. Step 3: Cross multiply
    18,024.30x = 24,872.04 × 10,468.22
  4. Step 4: Simplify right side
    18,024.30x = 260,365,986.57
  5. Step 5: Solve for x
    x = 260,365,986.57/18,024.30
  6. Step 6: Final answer
    x = 14,445.28

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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.