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Finding the Fourth Proportional to 23,293.97, 32,145.80 and 12,683.57

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Solution

The fourth proportional to 23,293.97, 32,145.80 and 12,683.57 is: 17,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.97 : 32,145.80 = 12,683.57 : x
  2. Step 2: Convert to fraction form
    23,293.97/32,145.80 = 12,683.57/x
  3. Step 3: Cross multiply
    23,293.97x = 32,145.80 × 12,683.57
  4. Step 4: Simplify right side
    23,293.97x = 407,723,504.51
  5. Step 5: Solve for x
    x = 407,723,504.51/23,293.97
  6. Step 6: Final answer
    x = 17,503.39

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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.