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Finding the Fourth Proportional to 29,214.46, 43,824.12 and 9,492.58

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Solution

The fourth proportional to 29,214.46, 43,824.12 and 9,492.58 is: 14,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214.46 : 43,824.12 = 9,492.58 : x
  2. Step 2: Convert to fraction form
    29,214.46/43,824.12 = 9,492.58/x
  3. Step 3: Cross multiply
    29,214.46x = 43,824.12 × 9,492.58
  4. Step 4: Simplify right side
    29,214.46x = 416,003,965.03
  5. Step 5: Solve for x
    x = 416,003,965.03/29,214.46
  6. Step 6: Final answer
    x = 14,239.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.