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Finding the Fourth Proportional to 28,659.60, 39,549.60 and 16,083

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Solution

The fourth proportional to 28,659.60, 39,549.60 and 16,083 is: 22,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,659.60 : 39,549.60 = 16,083 : x
  2. Step 2: Convert to fraction form
    28,659.60/39,549.60 = 16,083/x
  3. Step 3: Cross multiply
    28,659.60x = 39,549.60 × 16,083
  4. Step 4: Simplify right side
    28,659.60x = 636,076,216.80
  5. Step 5: Solve for x
    x = 636,076,216.80/28,659.60
  6. Step 6: Final answer
    x = 22,194.18

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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.