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Finding the Fourth Proportional to 20,965.76, 28,932.76 and 12,582.26

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Solution

The fourth proportional to 20,965.76, 28,932.76 and 12,582.26 is: 17,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.76 : 28,932.76 = 12,582.26 : x
  2. Step 2: Convert to fraction form
    20,965.76/28,932.76 = 12,582.26/x
  3. Step 3: Cross multiply
    20,965.76x = 28,932.76 × 12,582.26
  4. Step 4: Simplify right side
    20,965.76x = 364,039,508.84
  5. Step 5: Solve for x
    x = 364,039,508.84/20,965.76
  6. Step 6: Final answer
    x = 17,363.53

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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.