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Finding the Fourth Proportional to 23,290.40, 32,140.67 and 12,680.03

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Solution

The fourth proportional to 23,290.40, 32,140.67 and 12,680.03 is: 17,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.40 : 32,140.67 = 12,680.03 : x
  2. Step 2: Convert to fraction form
    23,290.40/32,140.67 = 12,680.03/x
  3. Step 3: Cross multiply
    23,290.40x = 32,140.67 × 12,680.03
  4. Step 4: Simplify right side
    23,290.40x = 407,544,435.72
  5. Step 5: Solve for x
    x = 407,544,435.72/23,290.40
  6. Step 6: Final answer
    x = 17,498.39

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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.