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Finding the Fourth Proportional to 14,715.41, 20,300.83 and 9,673.16

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Solution

The fourth proportional to 14,715.41, 20,300.83 and 9,673.16 is: 13,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715.41 : 20,300.83 = 9,673.16 : x
  2. Step 2: Convert to fraction form
    14,715.41/20,300.83 = 9,673.16/x
  3. Step 3: Cross multiply
    14,715.41x = 20,300.83 × 9,673.16
  4. Step 4: Simplify right side
    14,715.41x = 196,373,051.04
  5. Step 5: Solve for x
    x = 196,373,051.04/14,715.41
  6. Step 6: Final answer
    x = 13,344.73

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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.