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Finding the Fourth Proportional to 13,187.34, 18,200.00 and 7,523.49

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Solution

The fourth proportional to 13,187.34, 18,200.00 and 7,523.49 is: 10,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.34 : 18,200.00 = 7,523.49 : x
  2. Step 2: Convert to fraction form
    13,187.34/18,200.00 = 7,523.49/x
  3. Step 3: Cross multiply
    13,187.34x = 18,200.00 × 7,523.49
  4. Step 4: Simplify right side
    13,187.34x = 136,927,478.45
  5. Step 5: Solve for x
    x = 136,927,478.45/13,187.34
  6. Step 6: Final answer
    x = 10,383.25

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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.