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Finding the Fourth Proportional to 16,453, 24,690.84 and 14,259.52

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Solution

The fourth proportional to 16,453, 24,690.84 and 14,259.52 is: 21,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453 : 24,690.84 = 14,259.52 : x
  2. Step 2: Convert to fraction form
    16,453/24,690.84 = 14,259.52/x
  3. Step 3: Cross multiply
    16,453x = 24,690.84 × 14,259.52
  4. Step 4: Simplify right side
    16,453x = 352,079,526.80
  5. Step 5: Solve for x
    x = 352,079,526.80/16,453
  6. Step 6: Final answer
    x = 21,399.11

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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.