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Finding the Fourth Proportional to 12,309.30, 18,459.63 and 3,541.86

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Solution

The fourth proportional to 12,309.30, 18,459.63 and 3,541.86 is: 5,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.30 : 18,459.63 = 3,541.86 : x
  2. Step 2: Convert to fraction form
    12,309.30/18,459.63 = 3,541.86/x
  3. Step 3: Cross multiply
    12,309.30x = 18,459.63 × 3,541.86
  4. Step 4: Simplify right side
    12,309.30x = 65,381,425.11
  5. Step 5: Solve for x
    x = 65,381,425.11/12,309.30
  6. Step 6: Final answer
    x = 5,311.55

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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.