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Finding the Fourth Proportional to 23,673.81, 32,662.23 and 15,717.57

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Solution

The fourth proportional to 23,673.81, 32,662.23 and 15,717.57 is: 21,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.81 : 32,662.23 = 15,717.57 : x
  2. Step 2: Convert to fraction form
    23,673.81/32,662.23 = 15,717.57/x
  3. Step 3: Cross multiply
    23,673.81x = 32,662.23 × 15,717.57
  4. Step 4: Simplify right side
    23,673.81x = 513,370,886.38
  5. Step 5: Solve for x
    x = 513,370,886.38/23,673.81
  6. Step 6: Final answer
    x = 21,685.18

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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.