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Finding the Fourth Proportional to 17,075.64, 25,613.40 and 7,945.98

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Solution

The fourth proportional to 17,075.64, 25,613.40 and 7,945.98 is: 11,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075.64 : 25,613.40 = 7,945.98 : x
  2. Step 2: Convert to fraction form
    17,075.64/25,613.40 = 7,945.98/x
  3. Step 3: Cross multiply
    17,075.64x = 25,613.40 × 7,945.98
  4. Step 4: Simplify right side
    17,075.64x = 203,523,564.13
  5. Step 5: Solve for x
    x = 203,523,564.13/17,075.64
  6. Step 6: Final answer
    x = 11,918.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.