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Finding the Fourth Proportional to 17,737.94, 24,466.05 and 14,380.88

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Solution

The fourth proportional to 17,737.94, 24,466.05 and 14,380.88 is: 19,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.94 : 24,466.05 = 14,380.88 : x
  2. Step 2: Convert to fraction form
    17,737.94/24,466.05 = 14,380.88/x
  3. Step 3: Cross multiply
    17,737.94x = 24,466.05 × 14,380.88
  4. Step 4: Simplify right side
    17,737.94x = 351,843,329.12
  5. Step 5: Solve for x
    x = 351,843,329.12/17,737.94
  6. Step 6: Final answer
    x = 19,835.64

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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.