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Finding the Fourth Proportional to 12,330.96, 18,496.44 and 11,261.76

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Solution

The fourth proportional to 12,330.96, 18,496.44 and 11,261.76 is: 16,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.96 : 18,496.44 = 11,261.76 : x
  2. Step 2: Convert to fraction form
    12,330.96/18,496.44 = 11,261.76/x
  3. Step 3: Cross multiply
    12,330.96x = 18,496.44 × 11,261.76
  4. Step 4: Simplify right side
    12,330.96x = 208,302,468.13
  5. Step 5: Solve for x
    x = 208,302,468.13/12,330.96
  6. Step 6: Final answer
    x = 16,892.64

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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.