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Finding the Fourth Proportional to 23,077.42, 31,846.08 and 14,584.08

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Solution

The fourth proportional to 23,077.42, 31,846.08 and 14,584.08 is: 20,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.42 : 31,846.08 = 14,584.08 : x
  2. Step 2: Convert to fraction form
    23,077.42/31,846.08 = 14,584.08/x
  3. Step 3: Cross multiply
    23,077.42x = 31,846.08 × 14,584.08
  4. Step 4: Simplify right side
    23,077.42x = 464,445,778.41
  5. Step 5: Solve for x
    x = 464,445,778.41/23,077.42
  6. Step 6: Final answer
    x = 20,125.55

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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.