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Finding the Fourth Proportional to 22,300.64, 30,777.54 and 12,869

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Solution

The fourth proportional to 22,300.64, 30,777.54 and 12,869 is: 17,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.64 : 30,777.54 = 12,869 : x
  2. Step 2: Convert to fraction form
    22,300.64/30,777.54 = 12,869/x
  3. Step 3: Cross multiply
    22,300.64x = 30,777.54 × 12,869
  4. Step 4: Simplify right side
    22,300.64x = 396,076,162.26
  5. Step 5: Solve for x
    x = 396,076,162.26/22,300.64
  6. Step 6: Final answer
    x = 17,760.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.