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Finding the Fourth Proportional to 13,516.52, 18,665.64 and 12,780.20

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Solution

The fourth proportional to 13,516.52, 18,665.64 and 12,780.20 is: 17,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.52 : 18,665.64 = 12,780.20 : x
  2. Step 2: Convert to fraction form
    13,516.52/18,665.64 = 12,780.20/x
  3. Step 3: Cross multiply
    13,516.52x = 18,665.64 × 12,780.20
  4. Step 4: Simplify right side
    13,516.52x = 238,550,612.33
  5. Step 5: Solve for x
    x = 238,550,612.33/13,516.52
  6. Step 6: Final answer
    x = 17,648.82

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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.