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Finding the Fourth Proportional to 12,315.48, 18,447.12 and 6,459.96

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Solution

The fourth proportional to 12,315.48, 18,447.12 and 6,459.96 is: 9,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.48 : 18,447.12 = 6,459.96 : x
  2. Step 2: Convert to fraction form
    12,315.48/18,447.12 = 6,459.96/x
  3. Step 3: Cross multiply
    12,315.48x = 18,447.12 × 6,459.96
  4. Step 4: Simplify right side
    12,315.48x = 119,167,657.32
  5. Step 5: Solve for x
    x = 119,167,657.32/12,315.48
  6. Step 6: Final answer
    x = 9,676.25

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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.