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Finding the Fourth Proportional to 17,075.20, 23,563.36 and 9,623.20

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Solution

The fourth proportional to 17,075.20, 23,563.36 and 9,623.20 is: 13,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075.20 : 23,563.36 = 9,623.20 : x
  2. Step 2: Convert to fraction form
    17,075.20/23,563.36 = 9,623.20/x
  3. Step 3: Cross multiply
    17,075.20x = 23,563.36 × 9,623.20
  4. Step 4: Simplify right side
    17,075.20x = 226,754,925.95
  5. Step 5: Solve for x
    x = 226,754,925.95/17,075.20
  6. Step 6: Final answer
    x = 13,279.78

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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.