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Finding the Fourth Proportional to 14,552.71, 20,077.84 and 8,885.41

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Solution

The fourth proportional to 14,552.71, 20,077.84 and 8,885.41 is: 12,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.71 : 20,077.84 = 8,885.41 : x
  2. Step 2: Convert to fraction form
    14,552.71/20,077.84 = 8,885.41/x
  3. Step 3: Cross multiply
    14,552.71x = 20,077.84 × 8,885.41
  4. Step 4: Simplify right side
    14,552.71x = 178,399,840.31
  5. Step 5: Solve for x
    x = 178,399,840.31/14,552.71
  6. Step 6: Final answer
    x = 12,258.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.