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Finding the Fourth Proportional to 23,537.82, 32,492 and 16,826.16

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Solution

The fourth proportional to 23,537.82, 32,492 and 16,826.16 is: 23,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.82 : 32,492 = 16,826.16 : x
  2. Step 2: Convert to fraction form
    23,537.82/32,492 = 16,826.16/x
  3. Step 3: Cross multiply
    23,537.82x = 32,492 × 16,826.16
  4. Step 4: Simplify right side
    23,537.82x = 546,715,590.72
  5. Step 5: Solve for x
    x = 546,715,590.72/23,537.82
  6. Step 6: Final answer
    x = 23,227.11

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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.