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Finding the Fourth Proportional to 21,963.08, 30,311.58 and 12,533

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Solution

The fourth proportional to 21,963.08, 30,311.58 and 12,533 is: 17,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.08 : 30,311.58 = 12,533 : x
  2. Step 2: Convert to fraction form
    21,963.08/30,311.58 = 12,533/x
  3. Step 3: Cross multiply
    21,963.08x = 30,311.58 × 12,533
  4. Step 4: Simplify right side
    21,963.08x = 379,895,032.14
  5. Step 5: Solve for x
    x = 379,895,032.14/21,963.08
  6. Step 6: Final answer
    x = 17,296.98

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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.