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Finding the Fourth Proportional to 17,307.68, 25,962.60 and 11,758.64

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Solution

The fourth proportional to 17,307.68, 25,962.60 and 11,758.64 is: 17,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307.68 : 25,962.60 = 11,758.64 : x
  2. Step 2: Convert to fraction form
    17,307.68/25,962.60 = 11,758.64/x
  3. Step 3: Cross multiply
    17,307.68x = 25,962.60 × 11,758.64
  4. Step 4: Simplify right side
    17,307.68x = 305,284,866.86
  5. Step 5: Solve for x
    x = 305,284,866.86/17,307.68
  6. Step 6: Final answer
    x = 17,638.69

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