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Finding the Fourth Proportional to 12,462.74, 18,697.64 and 5,072.50

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Solution

The fourth proportional to 12,462.74, 18,697.64 and 5,072.50 is: 7,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.74 : 18,697.64 = 5,072.50 : x
  2. Step 2: Convert to fraction form
    12,462.74/18,697.64 = 5,072.50/x
  3. Step 3: Cross multiply
    12,462.74x = 18,697.64 × 5,072.50
  4. Step 4: Simplify right side
    12,462.74x = 94,843,724.32
  5. Step 5: Solve for x
    x = 94,843,724.32/12,462.74
  6. Step 6: Final answer
    x = 7,610.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.