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Finding the Fourth Proportional to 14,594.34, 20,096.02 and 12,232.38

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Solution

The fourth proportional to 14,594.34, 20,096.02 and 12,232.38 is: 16,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.34 : 20,096.02 = 12,232.38 : x
  2. Step 2: Convert to fraction form
    14,594.34/20,096.02 = 12,232.38/x
  3. Step 3: Cross multiply
    14,594.34x = 20,096.02 × 12,232.38
  4. Step 4: Simplify right side
    14,594.34x = 245,822,153.13
  5. Step 5: Solve for x
    x = 245,822,153.13/14,594.34
  6. Step 6: Final answer
    x = 16,843.66

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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.