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Finding the Fourth Proportional to 14,180.79, 19,570.46 and 8,214.15

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Solution

The fourth proportional to 14,180.79, 19,570.46 and 8,214.15 is: 11,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.79 : 19,570.46 = 8,214.15 : x
  2. Step 2: Convert to fraction form
    14,180.79/19,570.46 = 8,214.15/x
  3. Step 3: Cross multiply
    14,180.79x = 19,570.46 × 8,214.15
  4. Step 4: Simplify right side
    14,180.79x = 160,754,652.94
  5. Step 5: Solve for x
    x = 160,754,652.94/14,180.79
  6. Step 6: Final answer
    x = 11,336.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.