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Finding the Fourth Proportional to 20,612.94, 30,924.74 and 9,527.55

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Solution

The fourth proportional to 20,612.94, 30,924.74 and 9,527.55 is: 14,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612.94 : 30,924.74 = 9,527.55 : x
  2. Step 2: Convert to fraction form
    20,612.94/30,924.74 = 9,527.55/x
  3. Step 3: Cross multiply
    20,612.94x = 30,924.74 × 9,527.55
  4. Step 4: Simplify right side
    20,612.94x = 294,637,006.59
  5. Step 5: Solve for x
    x = 294,637,006.59/20,612.94
  6. Step 6: Final answer
    x = 14,293.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.