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Finding the Fourth Proportional to 22,146.97, 30,563 and 12,075.48

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Solution

The fourth proportional to 22,146.97, 30,563 and 12,075.48 is: 16,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.97 : 30,563 = 12,075.48 : x
  2. Step 2: Convert to fraction form
    22,146.97/30,563 = 12,075.48/x
  3. Step 3: Cross multiply
    22,146.97x = 30,563 × 12,075.48
  4. Step 4: Simplify right side
    22,146.97x = 369,062,895.24
  5. Step 5: Solve for x
    x = 369,062,895.24/22,146.97
  6. Step 6: Final answer
    x = 16,664.26

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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.