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Finding the Fourth Proportional to 20,924.46, 28,875.78 and 11,493

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Solution

The fourth proportional to 20,924.46, 28,875.78 and 11,493 is: 15,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.46 : 28,875.78 = 11,493 : x
  2. Step 2: Convert to fraction form
    20,924.46/28,875.78 = 11,493/x
  3. Step 3: Cross multiply
    20,924.46x = 28,875.78 × 11,493
  4. Step 4: Simplify right side
    20,924.46x = 331,869,339.54
  5. Step 5: Solve for x
    x = 331,869,339.54/20,924.46
  6. Step 6: Final answer
    x = 15,860.35

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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.