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Finding the Fourth Proportional to 12,468.64, 17,206.74 and 7,992.40

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Solution

The fourth proportional to 12,468.64, 17,206.74 and 7,992.40 is: 11,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.64 : 17,206.74 = 7,992.40 : x
  2. Step 2: Convert to fraction form
    12,468.64/17,206.74 = 7,992.40/x
  3. Step 3: Cross multiply
    12,468.64x = 17,206.74 × 7,992.40
  4. Step 4: Simplify right side
    12,468.64x = 137,523,148.78
  5. Step 5: Solve for x
    x = 137,523,148.78/12,468.64
  6. Step 6: Final answer
    x = 11,029.52

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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.