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Finding the Fourth Proportional to 12,648.69, 18,975.74 and 4,749.98

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Solution

The fourth proportional to 12,648.69, 18,975.74 and 4,749.98 is: 7,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.69 : 18,975.74 = 4,749.98 : x
  2. Step 2: Convert to fraction form
    12,648.69/18,975.74 = 4,749.98/x
  3. Step 3: Cross multiply
    12,648.69x = 18,975.74 × 4,749.98
  4. Step 4: Simplify right side
    12,648.69x = 90,134,266.86
  5. Step 5: Solve for x
    x = 90,134,266.86/12,648.69
  6. Step 6: Final answer
    x = 7,125.98

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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.