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Finding the Fourth Proportional to 13,707.65, 20,554.99 and 6,309.92

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Solution

The fourth proportional to 13,707.65, 20,554.99 and 6,309.92 is: 9,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.65 : 20,554.99 = 6,309.92 : x
  2. Step 2: Convert to fraction form
    13,707.65/20,554.99 = 6,309.92/x
  3. Step 3: Cross multiply
    13,707.65x = 20,554.99 × 6,309.92
  4. Step 4: Simplify right side
    13,707.65x = 129,700,378.11
  5. Step 5: Solve for x
    x = 129,700,378.11/13,707.65
  6. Step 6: Final answer
    x = 9,461.90

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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.