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Finding the Fourth Proportional to 23,290.38, 32,140.74 and 12,679.98

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Solution

The fourth proportional to 23,290.38, 32,140.74 and 12,679.98 is: 17,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.38 : 32,140.74 = 12,679.98 : x
  2. Step 2: Convert to fraction form
    23,290.38/32,140.74 = 12,679.98/x
  3. Step 3: Cross multiply
    23,290.38x = 32,140.74 × 12,679.98
  4. Step 4: Simplify right side
    23,290.38x = 407,543,940.39
  5. Step 5: Solve for x
    x = 407,543,940.39/23,290.38
  6. Step 6: Final answer
    x = 17,498.38

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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.