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Finding the Fourth Proportional to 13,670.47, 20,506.92 and 3,809.93

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Solution

The fourth proportional to 13,670.47, 20,506.92 and 3,809.93 is: 5,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.47 : 20,506.92 = 3,809.93 : x
  2. Step 2: Convert to fraction form
    13,670.47/20,506.92 = 3,809.93/x
  3. Step 3: Cross multiply
    13,670.47x = 20,506.92 × 3,809.93
  4. Step 4: Simplify right side
    13,670.47x = 78,129,910.67
  5. Step 5: Solve for x
    x = 78,129,910.67/13,670.47
  6. Step 6: Final answer
    x = 5,715.23

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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.