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Finding the Fourth Proportional to 23,524.96, 32,465.16 and 12,915.28

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Solution

The fourth proportional to 23,524.96, 32,465.16 and 12,915.28 is: 17,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.96 : 32,465.16 = 12,915.28 : x
  2. Step 2: Convert to fraction form
    23,524.96/32,465.16 = 12,915.28/x
  3. Step 3: Cross multiply
    23,524.96x = 32,465.16 × 12,915.28
  4. Step 4: Simplify right side
    23,524.96x = 419,296,631.64
  5. Step 5: Solve for x
    x = 419,296,631.64/23,524.96
  6. Step 6: Final answer
    x = 17,823.48

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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.