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Finding the Fourth Proportional to 12,483.81, 18,714.72 and 5,094.48

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Solution

The fourth proportional to 12,483.81, 18,714.72 and 5,094.48 is: 7,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.81 : 18,714.72 = 5,094.48 : x
  2. Step 2: Convert to fraction form
    12,483.81/18,714.72 = 5,094.48/x
  3. Step 3: Cross multiply
    12,483.81x = 18,714.72 × 5,094.48
  4. Step 4: Simplify right side
    12,483.81x = 95,341,766.75
  5. Step 5: Solve for x
    x = 95,341,766.75/12,483.81
  6. Step 6: Final answer
    x = 7,637.23

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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.