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Finding the Fourth Proportional to 12,570.45, 18,859.61 and 5,178.39

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Solution

The fourth proportional to 12,570.45, 18,859.61 and 5,178.39 is: 7,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.45 : 18,859.61 = 5,178.39 : x
  2. Step 2: Convert to fraction form
    12,570.45/18,859.61 = 5,178.39/x
  3. Step 3: Cross multiply
    12,570.45x = 18,859.61 × 5,178.39
  4. Step 4: Simplify right side
    12,570.45x = 97,662,415.83
  5. Step 5: Solve for x
    x = 97,662,415.83/12,570.45
  6. Step 6: Final answer
    x = 7,769.21

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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.