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Finding the Fourth Proportional to 15,376.84, 23,078.22 and 6,149.32

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Solution

The fourth proportional to 15,376.84, 23,078.22 and 6,149.32 is: 9,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,376.84 : 23,078.22 = 6,149.32 : x
  2. Step 2: Convert to fraction form
    15,376.84/23,078.22 = 6,149.32/x
  3. Step 3: Cross multiply
    15,376.84x = 23,078.22 × 6,149.32
  4. Step 4: Simplify right side
    15,376.84x = 141,915,359.81
  5. Step 5: Solve for x
    x = 141,915,359.81/15,376.84
  6. Step 6: Final answer
    x = 9,229.16

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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.