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Finding the Fourth Proportional to 12,723.93, 19,086.50 and 10,498.64

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Solution

The fourth proportional to 12,723.93, 19,086.50 and 10,498.64 is: 15,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.93 : 19,086.50 = 10,498.64 : x
  2. Step 2: Convert to fraction form
    12,723.93/19,086.50 = 10,498.64/x
  3. Step 3: Cross multiply
    12,723.93x = 19,086.50 × 10,498.64
  4. Step 4: Simplify right side
    12,723.93x = 200,382,144.43
  5. Step 5: Solve for x
    x = 200,382,144.43/12,723.93
  6. Step 6: Final answer
    x = 15,748.45

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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.