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Finding the Fourth Proportional to 12,276.96, 18,393.42 and 7,459.64

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Solution

The fourth proportional to 12,276.96, 18,393.42 and 7,459.64 is: 11,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.96 : 18,393.42 = 7,459.64 : x
  2. Step 2: Convert to fraction form
    12,276.96/18,393.42 = 7,459.64/x
  3. Step 3: Cross multiply
    12,276.96x = 18,393.42 × 7,459.64
  4. Step 4: Simplify right side
    12,276.96x = 137,208,199.60
  5. Step 5: Solve for x
    x = 137,208,199.60/12,276.96
  6. Step 6: Final answer
    x = 11,176.07

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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.