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Finding the Fourth Proportional to 17,075.19, 23,563.86 and 9,522

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Solution

The fourth proportional to 17,075.19, 23,563.86 and 9,522 is: 13,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075.19 : 23,563.86 = 9,522 : x
  2. Step 2: Convert to fraction form
    17,075.19/23,563.86 = 9,522/x
  3. Step 3: Cross multiply
    17,075.19x = 23,563.86 × 9,522
  4. Step 4: Simplify right side
    17,075.19x = 224,375,074.92
  5. Step 5: Solve for x
    x = 224,375,074.92/17,075.19
  6. Step 6: Final answer
    x = 13,140.41

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Why These Related Problems?

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