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Finding the Fourth Proportional to 12,178.86, 18,254.44 and 5,154.48

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Solution

The fourth proportional to 12,178.86, 18,254.44 and 5,154.48 is: 7,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.86 : 18,254.44 = 5,154.48 : x
  2. Step 2: Convert to fraction form
    12,178.86/18,254.44 = 5,154.48/x
  3. Step 3: Cross multiply
    12,178.86x = 18,254.44 × 5,154.48
  4. Step 4: Simplify right side
    12,178.86x = 94,092,145.89
  5. Step 5: Solve for x
    x = 94,092,145.89/12,178.86
  6. Step 6: Final answer
    x = 7,725.86

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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.