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Finding the Fourth Proportional to 14,419, 19,880.20 and 12,032.41

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Solution

The fourth proportional to 14,419, 19,880.20 and 12,032.41 is: 16,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419 : 19,880.20 = 12,032.41 : x
  2. Step 2: Convert to fraction form
    14,419/19,880.20 = 12,032.41/x
  3. Step 3: Cross multiply
    14,419x = 19,880.20 × 12,032.41
  4. Step 4: Simplify right side
    14,419x = 239,206,557.72
  5. Step 5: Solve for x
    x = 239,206,557.72/14,419
  6. Step 6: Final answer
    x = 16,589.68

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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.