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Finding the Fourth Proportional to 13,524.71, 18,654.71 and 12,409.34

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Solution

The fourth proportional to 13,524.71, 18,654.71 and 12,409.34 is: 17,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.71 : 18,654.71 = 12,409.34 : x
  2. Step 2: Convert to fraction form
    13,524.71/18,654.71 = 12,409.34/x
  3. Step 3: Cross multiply
    13,524.71x = 18,654.71 × 12,409.34
  4. Step 4: Simplify right side
    13,524.71x = 231,492,483.67
  5. Step 5: Solve for x
    x = 231,492,483.67/13,524.71
  6. Step 6: Final answer
    x = 17,116.27

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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.