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Finding the Fourth Proportional to 13,518, 18,654.63 and 7,549.76

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Solution

The fourth proportional to 13,518, 18,654.63 and 7,549.76 is: 10,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518 : 18,654.63 = 7,549.76 : x
  2. Step 2: Convert to fraction form
    13,518/18,654.63 = 7,549.76/x
  3. Step 3: Cross multiply
    13,518x = 18,654.63 × 7,549.76
  4. Step 4: Simplify right side
    13,518x = 140,837,886.12
  5. Step 5: Solve for x
    x = 140,837,886.12/13,518
  6. Step 6: Final answer
    x = 10,418.54

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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.