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Finding the Fourth Proportional to 23,494, 32,418.74 and 12,880.84

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Solution

The fourth proportional to 23,494, 32,418.74 and 12,880.84 is: 17,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494 : 32,418.74 = 12,880.84 : x
  2. Step 2: Convert to fraction form
    23,494/32,418.74 = 12,880.84/x
  3. Step 3: Cross multiply
    23,494x = 32,418.74 × 12,880.84
  4. Step 4: Simplify right side
    23,494x = 417,580,602.94
  5. Step 5: Solve for x
    x = 417,580,602.94/23,494
  6. Step 6: Final answer
    x = 17,773.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.