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Finding the Fourth Proportional to 24,537.60, 36,844.80 and 14,169.60

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Solution

The fourth proportional to 24,537.60, 36,844.80 and 14,169.60 is: 21,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.60 : 36,844.80 = 14,169.60 : x
  2. Step 2: Convert to fraction form
    24,537.60/36,844.80 = 14,169.60/x
  3. Step 3: Cross multiply
    24,537.60x = 36,844.80 × 14,169.60
  4. Step 4: Simplify right side
    24,537.60x = 522,076,078.08
  5. Step 5: Solve for x
    x = 522,076,078.08/24,537.60
  6. Step 6: Final answer
    x = 21,276.57

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