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Finding the Fourth Proportional to 16,657.60, 24,986.40 and 16,268.80

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Solution

The fourth proportional to 16,657.60, 24,986.40 and 16,268.80 is: 24,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.60 : 24,986.40 = 16,268.80 : x
  2. Step 2: Convert to fraction form
    16,657.60/24,986.40 = 16,268.80/x
  3. Step 3: Cross multiply
    16,657.60x = 24,986.40 × 16,268.80
  4. Step 4: Simplify right side
    16,657.60x = 406,498,744.32
  5. Step 5: Solve for x
    x = 406,498,744.32/16,657.60
  6. Step 6: Final answer
    x = 24,403.20

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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.