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Finding the Fourth Proportional to 13,184.51, 18,203.11 and 11,765.76

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Solution

The fourth proportional to 13,184.51, 18,203.11 and 11,765.76 is: 16,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.51 : 18,203.11 = 11,765.76 : x
  2. Step 2: Convert to fraction form
    13,184.51/18,203.11 = 11,765.76/x
  3. Step 3: Cross multiply
    13,184.51x = 18,203.11 × 11,765.76
  4. Step 4: Simplify right side
    13,184.51x = 214,173,423.51
  5. Step 5: Solve for x
    x = 214,173,423.51/13,184.51
  6. Step 6: Final answer
    x = 16,244.32

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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.