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Finding the Fourth Proportional to 13,518.73, 18,654.59 and 8,738.78

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Solution

The fourth proportional to 13,518.73, 18,654.59 and 8,738.78 is: 12,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.73 : 18,654.59 = 8,738.78 : x
  2. Step 2: Convert to fraction form
    13,518.73/18,654.59 = 8,738.78/x
  3. Step 3: Cross multiply
    13,518.73x = 18,654.59 × 8,738.78
  4. Step 4: Simplify right side
    13,518.73x = 163,018,314.31
  5. Step 5: Solve for x
    x = 163,018,314.31/13,518.73
  6. Step 6: Final answer
    x = 12,058.70

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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.