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Finding the Fourth Proportional to 25,612.26, 38,423.04 and 12,464.64

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Solution

The fourth proportional to 25,612.26, 38,423.04 and 12,464.64 is: 18,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.26 : 38,423.04 = 12,464.64 : x
  2. Step 2: Convert to fraction form
    25,612.26/38,423.04 = 12,464.64/x
  3. Step 3: Cross multiply
    25,612.26x = 38,423.04 × 12,464.64
  4. Step 4: Simplify right side
    25,612.26x = 478,929,361.31
  5. Step 5: Solve for x
    x = 478,929,361.31/25,612.26
  6. Step 6: Final answer
    x = 18,699.22

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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.