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Finding the Fourth Proportional to 22,385.20, 30,889.15 and 12,952

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Solution

The fourth proportional to 22,385.20, 30,889.15 and 12,952 is: 17,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.20 : 30,889.15 = 12,952 : x
  2. Step 2: Convert to fraction form
    22,385.20/30,889.15 = 12,952/x
  3. Step 3: Cross multiply
    22,385.20x = 30,889.15 × 12,952
  4. Step 4: Simplify right side
    22,385.20x = 400,076,270.80
  5. Step 5: Solve for x
    x = 400,076,270.80/22,385.20
  6. Step 6: Final answer
    x = 17,872.36

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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.