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Finding the Fourth Proportional to 23,157.84, 31,958.38 and 14,200.16

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Solution

The fourth proportional to 23,157.84, 31,958.38 and 14,200.16 is: 19,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.84 : 31,958.38 = 14,200.16 : x
  2. Step 2: Convert to fraction form
    23,157.84/31,958.38 = 14,200.16/x
  3. Step 3: Cross multiply
    23,157.84x = 31,958.38 × 14,200.16
  4. Step 4: Simplify right side
    23,157.84x = 453,813,967.30
  5. Step 5: Solve for x
    x = 453,813,967.30/23,157.84
  6. Step 6: Final answer
    x = 19,596.56

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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.