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Finding the Fourth Proportional to 13,105.77, 19,563.64 and 12,130.16

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Solution

The fourth proportional to 13,105.77, 19,563.64 and 12,130.16 is: 18,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.77 : 19,563.64 = 12,130.16 : x
  2. Step 2: Convert to fraction form
    13,105.77/19,563.64 = 12,130.16/x
  3. Step 3: Cross multiply
    13,105.77x = 19,563.64 × 12,130.16
  4. Step 4: Simplify right side
    13,105.77x = 237,310,071.64
  5. Step 5: Solve for x
    x = 237,310,071.64/13,105.77
  6. Step 6: Final answer
    x = 18,107.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.