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Finding the Fourth Proportional to 12,470.10, 18,696.51 and 4,676.82

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Solution

The fourth proportional to 12,470.10, 18,696.51 and 4,676.82 is: 7,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.10 : 18,696.51 = 4,676.82 : x
  2. Step 2: Convert to fraction form
    12,470.10/18,696.51 = 4,676.82/x
  3. Step 3: Cross multiply
    12,470.10x = 18,696.51 × 4,676.82
  4. Step 4: Simplify right side
    12,470.10x = 87,440,211.90
  5. Step 5: Solve for x
    x = 87,440,211.90/12,470.10
  6. Step 6: Final answer
    x = 7,011.99

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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.