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Finding the Fourth Proportional to 17,741.76, 26,618.88 and 7,880.16

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Solution

The fourth proportional to 17,741.76, 26,618.88 and 7,880.16 is: 11,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.76 : 26,618.88 = 7,880.16 : x
  2. Step 2: Convert to fraction form
    17,741.76/26,618.88 = 7,880.16/x
  3. Step 3: Cross multiply
    17,741.76x = 26,618.88 × 7,880.16
  4. Step 4: Simplify right side
    17,741.76x = 209,761,033.42
  5. Step 5: Solve for x
    x = 209,761,033.42/17,741.76
  6. Step 6: Final answer
    x = 11,823.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.