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Finding the Fourth Proportional to 12,645.64, 18,959.46 and 3,875.86

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Solution

The fourth proportional to 12,645.64, 18,959.46 and 3,875.86 is: 5,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.64 : 18,959.46 = 3,875.86 : x
  2. Step 2: Convert to fraction form
    12,645.64/18,959.46 = 3,875.86/x
  3. Step 3: Cross multiply
    12,645.64x = 18,959.46 × 3,875.86
  4. Step 4: Simplify right side
    12,645.64x = 73,484,212.64
  5. Step 5: Solve for x
    x = 73,484,212.64/12,645.64
  6. Step 6: Final answer
    x = 5,811.03

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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.