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Finding the Fourth Proportional to 13,713.92, 18,915.34 and 8,925

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Solution

The fourth proportional to 13,713.92, 18,915.34 and 8,925 is: 12,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.92 : 18,915.34 = 8,925 : x
  2. Step 2: Convert to fraction form
    13,713.92/18,915.34 = 8,925/x
  3. Step 3: Cross multiply
    13,713.92x = 18,915.34 × 8,925
  4. Step 4: Simplify right side
    13,713.92x = 168,819,409.50
  5. Step 5: Solve for x
    x = 168,819,409.50/13,713.92
  6. Step 6: Final answer
    x = 12,310.08

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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.