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Finding the Fourth Proportional to 12,475.71, 18,697.41 and 5,071.50

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Solution

The fourth proportional to 12,475.71, 18,697.41 and 5,071.50 is: 7,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.71 : 18,697.41 = 5,071.50 : x
  2. Step 2: Convert to fraction form
    12,475.71/18,697.41 = 5,071.50/x
  3. Step 3: Cross multiply
    12,475.71x = 18,697.41 × 5,071.50
  4. Step 4: Simplify right side
    12,475.71x = 94,823,914.82
  5. Step 5: Solve for x
    x = 94,823,914.82/12,475.71
  6. Step 6: Final answer
    x = 7,600.68

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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.