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Finding the Fourth Proportional to 16,406.66, 24,591.32 and 14,428.42

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Solution

The fourth proportional to 16,406.66, 24,591.32 and 14,428.42 is: 21,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.66 : 24,591.32 = 14,428.42 : x
  2. Step 2: Convert to fraction form
    16,406.66/24,591.32 = 14,428.42/x
  3. Step 3: Cross multiply
    16,406.66x = 24,591.32 × 14,428.42
  4. Step 4: Simplify right side
    16,406.66x = 354,813,893.31
  5. Step 5: Solve for x
    x = 354,813,893.31/16,406.66
  6. Step 6: Final answer
    x = 21,626.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.