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Finding the Fourth Proportional to 23,527.89, 32,460.57 and 13,449.21

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Solution

The fourth proportional to 23,527.89, 32,460.57 and 13,449.21 is: 18,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.89 : 32,460.57 = 13,449.21 : x
  2. Step 2: Convert to fraction form
    23,527.89/32,460.57 = 13,449.21/x
  3. Step 3: Cross multiply
    23,527.89x = 32,460.57 × 13,449.21
  4. Step 4: Simplify right side
    23,527.89x = 436,569,022.65
  5. Step 5: Solve for x
    x = 436,569,022.65/23,527.89
  6. Step 6: Final answer
    x = 18,555.38

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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.