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Finding the Fourth Proportional to 13,549.66, 18,691.50 and 9,564.46

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Solution

The fourth proportional to 13,549.66, 18,691.50 and 9,564.46 is: 13,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.66 : 18,691.50 = 9,564.46 : x
  2. Step 2: Convert to fraction form
    13,549.66/18,691.50 = 9,564.46/x
  3. Step 3: Cross multiply
    13,549.66x = 18,691.50 × 9,564.46
  4. Step 4: Simplify right side
    13,549.66x = 178,774,104.09
  5. Step 5: Solve for x
    x = 178,774,104.09/13,549.66
  6. Step 6: Final answer
    x = 13,193.99

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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.