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Finding the Fourth Proportional to 13,498.87, 18,627.54 and 8,462.89

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Solution

The fourth proportional to 13,498.87, 18,627.54 and 8,462.89 is: 11,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.87 : 18,627.54 = 8,462.89 : x
  2. Step 2: Convert to fraction form
    13,498.87/18,627.54 = 8,462.89/x
  3. Step 3: Cross multiply
    13,498.87x = 18,627.54 × 8,462.89
  4. Step 4: Simplify right side
    13,498.87x = 157,642,821.99
  5. Step 5: Solve for x
    x = 157,642,821.99/13,498.87
  6. Step 6: Final answer
    x = 11,678.22

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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.