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Finding the Fourth Proportional to 13,575.15, 18,742.86 and 8,478.45

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Solution

The fourth proportional to 13,575.15, 18,742.86 and 8,478.45 is: 11,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.15 : 18,742.86 = 8,478.45 : x
  2. Step 2: Convert to fraction form
    13,575.15/18,742.86 = 8,478.45/x
  3. Step 3: Cross multiply
    13,575.15x = 18,742.86 × 8,478.45
  4. Step 4: Simplify right side
    13,575.15x = 158,910,401.37
  5. Step 5: Solve for x
    x = 158,910,401.37/13,575.15
  6. Step 6: Final answer
    x = 11,705.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.