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Finding the Fourth Proportional to 17,130.67, 23,643.44 and 9,961.60

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Solution

The fourth proportional to 17,130.67, 23,643.44 and 9,961.60 is: 13,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.67 : 23,643.44 = 9,961.60 : x
  2. Step 2: Convert to fraction form
    17,130.67/23,643.44 = 9,961.60/x
  3. Step 3: Cross multiply
    17,130.67x = 23,643.44 × 9,961.60
  4. Step 4: Simplify right side
    17,130.67x = 235,526,491.90
  5. Step 5: Solve for x
    x = 235,526,491.90/17,130.67
  6. Step 6: Final answer
    x = 13,748.82

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1.5x scale

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.