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Finding the Fourth Proportional to 13,549.34, 18,699.50 and 7,883.64

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Solution

The fourth proportional to 13,549.34, 18,699.50 and 7,883.64 is: 10,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.34 : 18,699.50 = 7,883.64 : x
  2. Step 2: Convert to fraction form
    13,549.34/18,699.50 = 7,883.64/x
  3. Step 3: Cross multiply
    13,549.34x = 18,699.50 × 7,883.64
  4. Step 4: Simplify right side
    13,549.34x = 147,420,126.18
  5. Step 5: Solve for x
    x = 147,420,126.18/13,549.34
  6. Step 6: Final answer
    x = 10,880.24

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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.