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Finding the Fourth Proportional to 13,647.57, 18,835.92 and 7,904.21

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Solution

The fourth proportional to 13,647.57, 18,835.92 and 7,904.21 is: 10,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.57 : 18,835.92 = 7,904.21 : x
  2. Step 2: Convert to fraction form
    13,647.57/18,835.92 = 7,904.21/x
  3. Step 3: Cross multiply
    13,647.57x = 18,835.92 × 7,904.21
  4. Step 4: Simplify right side
    13,647.57x = 148,882,973.04
  5. Step 5: Solve for x
    x = 148,882,973.04/13,647.57
  6. Step 6: Final answer
    x = 10,909.12

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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.