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Finding the Fourth Proportional to 21,818.25, 30,106.65 and 12,256.81

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Solution

The fourth proportional to 21,818.25, 30,106.65 and 12,256.81 is: 16,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.25 : 30,106.65 = 12,256.81 : x
  2. Step 2: Convert to fraction form
    21,818.25/30,106.65 = 12,256.81/x
  3. Step 3: Cross multiply
    21,818.25x = 30,106.65 × 12,256.81
  4. Step 4: Simplify right side
    21,818.25x = 369,011,488.79
  5. Step 5: Solve for x
    x = 369,011,488.79/21,818.25
  6. Step 6: Final answer
    x = 16,912.97

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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.