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Finding the Fourth Proportional to 12,582.45, 17,364.17 and 6,917.63

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Solution

The fourth proportional to 12,582.45, 17,364.17 and 6,917.63 is: 9,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.45 : 17,364.17 = 6,917.63 : x
  2. Step 2: Convert to fraction form
    12,582.45/17,364.17 = 6,917.63/x
  3. Step 3: Cross multiply
    12,582.45x = 17,364.17 × 6,917.63
  4. Step 4: Simplify right side
    12,582.45x = 120,118,903.32
  5. Step 5: Solve for x
    x = 120,118,903.32/12,582.45
  6. Step 6: Final answer
    x = 9,546.54

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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.