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Finding the Fourth Proportional to 15,591.42, 23,366.88 and 11,880

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Solution

The fourth proportional to 15,591.42, 23,366.88 and 11,880 is: 17,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.42 : 23,366.88 = 11,880 : x
  2. Step 2: Convert to fraction form
    15,591.42/23,366.88 = 11,880/x
  3. Step 3: Cross multiply
    15,591.42x = 23,366.88 × 11,880
  4. Step 4: Simplify right side
    15,591.42x = 277,598,534.40
  5. Step 5: Solve for x
    x = 277,598,534.40/15,591.42
  6. Step 6: Final answer
    x = 17,804.57

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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.