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Finding the Fourth Proportional to 13,492.34, 18,619.50 and 7,524.26

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Solution

The fourth proportional to 13,492.34, 18,619.50 and 7,524.26 is: 10,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.34 : 18,619.50 = 7,524.26 : x
  2. Step 2: Convert to fraction form
    13,492.34/18,619.50 = 7,524.26/x
  3. Step 3: Cross multiply
    13,492.34x = 18,619.50 × 7,524.26
  4. Step 4: Simplify right side
    13,492.34x = 140,097,865.97
  5. Step 5: Solve for x
    x = 140,097,865.97/13,492.34
  6. Step 6: Final answer
    x = 10,383.52

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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.