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Finding the Fourth Proportional to 11,403.92, 17,082.72 and 9,549.80

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Solution

The fourth proportional to 11,403.92, 17,082.72 and 9,549.80 is: 14,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.92 : 17,082.72 = 9,549.80 : x
  2. Step 2: Convert to fraction form
    11,403.92/17,082.72 = 9,549.80/x
  3. Step 3: Cross multiply
    11,403.92x = 17,082.72 × 9,549.80
  4. Step 4: Simplify right side
    11,403.92x = 163,136,559.46
  5. Step 5: Solve for x
    x = 163,136,559.46/11,403.92
  6. Step 6: Final answer
    x = 14,305.31

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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.