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Finding the Fourth Proportional to 23,466.48, 32,384 and 12,855.84

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Solution

The fourth proportional to 23,466.48, 32,384 and 12,855.84 is: 17,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.48 : 32,384 = 12,855.84 : x
  2. Step 2: Convert to fraction form
    23,466.48/32,384 = 12,855.84/x
  3. Step 3: Cross multiply
    23,466.48x = 32,384 × 12,855.84
  4. Step 4: Simplify right side
    23,466.48x = 416,323,522.56
  5. Step 5: Solve for x
    x = 416,323,522.56/23,466.48
  6. Step 6: Final answer
    x = 17,741.20

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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.