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Finding the Fourth Proportional to 13,456.74, 18,557.28 and 8,980.68

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Solution

The fourth proportional to 13,456.74, 18,557.28 and 8,980.68 is: 12,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.74 : 18,557.28 = 8,980.68 : x
  2. Step 2: Convert to fraction form
    13,456.74/18,557.28 = 8,980.68/x
  3. Step 3: Cross multiply
    13,456.74x = 18,557.28 × 8,980.68
  4. Step 4: Simplify right side
    13,456.74x = 166,656,993.35
  5. Step 5: Solve for x
    x = 166,656,993.35/13,456.74
  6. Step 6: Final answer
    x = 12,384.65

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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.