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Finding the Fourth Proportional to 23,283.24, 34,924.92 and 8,492.16

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Solution

The fourth proportional to 23,283.24, 34,924.92 and 8,492.16 is: 12,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.24 : 34,924.92 = 8,492.16 : x
  2. Step 2: Convert to fraction form
    23,283.24/34,924.92 = 8,492.16/x
  3. Step 3: Cross multiply
    23,283.24x = 34,924.92 × 8,492.16
  4. Step 4: Simplify right side
    23,283.24x = 296,588,008.63
  5. Step 5: Solve for x
    x = 296,588,008.63/23,283.24
  6. Step 6: Final answer
    x = 12,738.26

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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.