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Finding the Fourth Proportional to 16,846.30, 23,252.52 and 9,775

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Solution

The fourth proportional to 16,846.30, 23,252.52 and 9,775 is: 13,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.30 : 23,252.52 = 9,775 : x
  2. Step 2: Convert to fraction form
    16,846.30/23,252.52 = 9,775/x
  3. Step 3: Cross multiply
    16,846.30x = 23,252.52 × 9,775
  4. Step 4: Simplify right side
    16,846.30x = 227,293,383
  5. Step 5: Solve for x
    x = 227,293,383/16,846.30
  6. Step 6: Final answer
    x = 13,492.18

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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.