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Finding the Fourth Proportional to 13,498.88, 18,629.48 and 7,835.20

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Solution

The fourth proportional to 13,498.88, 18,629.48 and 7,835.20 is: 10,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.88 : 18,629.48 = 7,835.20 : x
  2. Step 2: Convert to fraction form
    13,498.88/18,629.48 = 7,835.20/x
  3. Step 3: Cross multiply
    13,498.88x = 18,629.48 × 7,835.20
  4. Step 4: Simplify right side
    13,498.88x = 145,965,701.70
  5. Step 5: Solve for x
    x = 145,965,701.70/13,498.88
  6. Step 6: Final answer
    x = 10,813.17

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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.