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Finding the Fourth Proportional to 23,002.80, 31,741.08 and 12,930

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Solution

The fourth proportional to 23,002.80, 31,741.08 and 12,930 is: 17,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.80 : 31,741.08 = 12,930 : x
  2. Step 2: Convert to fraction form
    23,002.80/31,741.08 = 12,930/x
  3. Step 3: Cross multiply
    23,002.80x = 31,741.08 × 12,930
  4. Step 4: Simplify right side
    23,002.80x = 410,412,164.40
  5. Step 5: Solve for x
    x = 410,412,164.40/23,002.80
  6. Step 6: Final answer
    x = 17,841.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.