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Finding the Fourth Proportional to 12,301.34, 18,464.98 and 5,733.86

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Solution

The fourth proportional to 12,301.34, 18,464.98 and 5,733.86 is: 8,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.34 : 18,464.98 = 5,733.86 : x
  2. Step 2: Convert to fraction form
    12,301.34/18,464.98 = 5,733.86/x
  3. Step 3: Cross multiply
    12,301.34x = 18,464.98 × 5,733.86
  4. Step 4: Simplify right side
    12,301.34x = 105,875,610.22
  5. Step 5: Solve for x
    x = 105,875,610.22/12,301.34
  6. Step 6: Final answer
    x = 8,606.84

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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.