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Finding the Fourth Proportional to 23,290.53, 32,140.94 and 12,680.16

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Solution

The fourth proportional to 23,290.53, 32,140.94 and 12,680.16 is: 17,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.53 : 32,140.94 = 12,680.16 : x
  2. Step 2: Convert to fraction form
    23,290.53/32,140.94 = 12,680.16/x
  3. Step 3: Cross multiply
    23,290.53x = 32,140.94 × 12,680.16
  4. Step 4: Simplify right side
    23,290.53x = 407,552,198.35
  5. Step 5: Solve for x
    x = 407,552,198.35/23,290.53
  6. Step 6: Final answer
    x = 17,498.62

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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.