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Finding the Fourth Proportional to 13,835.09, 20,752.59 and 8,290.10

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Solution

The fourth proportional to 13,835.09, 20,752.59 and 8,290.10 is: 12,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.09 : 20,752.59 = 8,290.10 : x
  2. Step 2: Convert to fraction form
    13,835.09/20,752.59 = 8,290.10/x
  3. Step 3: Cross multiply
    13,835.09x = 20,752.59 × 8,290.10
  4. Step 4: Simplify right side
    13,835.09x = 172,041,046.36
  5. Step 5: Solve for x
    x = 172,041,046.36/13,835.09
  6. Step 6: Final answer
    x = 12,435.12

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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.