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Finding the Fourth Proportional to 12,461.91, 18,682.38 and 5,071.67

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Solution

The fourth proportional to 12,461.91, 18,682.38 and 5,071.67 is: 7,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.91 : 18,682.38 = 5,071.67 : x
  2. Step 2: Convert to fraction form
    12,461.91/18,682.38 = 5,071.67/x
  3. Step 3: Cross multiply
    12,461.91x = 18,682.38 × 5,071.67
  4. Step 4: Simplify right side
    12,461.91x = 94,750,842.82
  5. Step 5: Solve for x
    x = 94,750,842.82/12,461.91
  6. Step 6: Final answer
    x = 7,603.24

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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.