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Finding the Fourth Proportional to 13,178.80, 19,750.74 and 8,236.72

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Solution

The fourth proportional to 13,178.80, 19,750.74 and 8,236.72 is: 12,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.80 : 19,750.74 = 8,236.72 : x
  2. Step 2: Convert to fraction form
    13,178.80/19,750.74 = 8,236.72/x
  3. Step 3: Cross multiply
    13,178.80x = 19,750.74 × 8,236.72
  4. Step 4: Simplify right side
    13,178.80x = 162,681,315.17
  5. Step 5: Solve for x
    x = 162,681,315.17/13,178.80
  6. Step 6: Final answer
    x = 12,344.17

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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.