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Finding the Fourth Proportional to 23,257.17, 32,094 and 12,646.82

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Solution

The fourth proportional to 23,257.17, 32,094 and 12,646.82 is: 17,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.17 : 32,094 = 12,646.82 : x
  2. Step 2: Convert to fraction form
    23,257.17/32,094 = 12,646.82/x
  3. Step 3: Cross multiply
    23,257.17x = 32,094 × 12,646.82
  4. Step 4: Simplify right side
    23,257.17x = 405,886,880.61
  5. Step 5: Solve for x
    x = 405,886,880.61/23,257.17
  6. Step 6: Final answer
    x = 17,452.12

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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.