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Finding the Fourth Proportional to 13,178.98, 19,771.29 and 4,859.02

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Solution

The fourth proportional to 13,178.98, 19,771.29 and 4,859.02 is: 7,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.98 : 19,771.29 = 4,859.02 : x
  2. Step 2: Convert to fraction form
    13,178.98/19,771.29 = 4,859.02/x
  3. Step 3: Cross multiply
    13,178.98x = 19,771.29 × 4,859.02
  4. Step 4: Simplify right side
    13,178.98x = 96,069,093.54
  5. Step 5: Solve for x
    x = 96,069,093.54/13,178.98
  6. Step 6: Final answer
    x = 7,289.57

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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.