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Finding the Fourth Proportional to 12,658.43, 18,991.75 and 6,085.13

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Solution

The fourth proportional to 12,658.43, 18,991.75 and 6,085.13 is: 9,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.43 : 18,991.75 = 6,085.13 : x
  2. Step 2: Convert to fraction form
    12,658.43/18,991.75 = 6,085.13/x
  3. Step 3: Cross multiply
    12,658.43x = 18,991.75 × 6,085.13
  4. Step 4: Simplify right side
    12,658.43x = 115,567,275.74
  5. Step 5: Solve for x
    x = 115,567,275.74/12,658.43
  6. Step 6: Final answer
    x = 9,129.67

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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.