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Finding the Fourth Proportional to 23,184.46, 31,994.32 and 13,114.86

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Solution

The fourth proportional to 23,184.46, 31,994.32 and 13,114.86 is: 18,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.46 : 31,994.32 = 13,114.86 : x
  2. Step 2: Convert to fraction form
    23,184.46/31,994.32 = 13,114.86/x
  3. Step 3: Cross multiply
    23,184.46x = 31,994.32 × 13,114.86
  4. Step 4: Simplify right side
    23,184.46x = 419,600,962.02
  5. Step 5: Solve for x
    x = 419,600,962.02/23,184.46
  6. Step 6: Final answer
    x = 18,098.38

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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.