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Finding the Fourth Proportional to 13,130.50, 18,120.09 and 9,776.20

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Solution

The fourth proportional to 13,130.50, 18,120.09 and 9,776.20 is: 13,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.50 : 18,120.09 = 9,776.20 : x
  2. Step 2: Convert to fraction form
    13,130.50/18,120.09 = 9,776.20/x
  3. Step 3: Cross multiply
    13,130.50x = 18,120.09 × 9,776.20
  4. Step 4: Simplify right side
    13,130.50x = 177,145,623.86
  5. Step 5: Solve for x
    x = 177,145,623.86/13,130.50
  6. Step 6: Final answer
    x = 13,491.16

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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.