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Finding the Fourth Proportional to 13,294.75, 18,338.63 and 7,913.57

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Solution

The fourth proportional to 13,294.75, 18,338.63 and 7,913.57 is: 10,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.75 : 18,338.63 = 7,913.57 : x
  2. Step 2: Convert to fraction form
    13,294.75/18,338.63 = 7,913.57/x
  3. Step 3: Cross multiply
    13,294.75x = 18,338.63 × 7,913.57
  4. Step 4: Simplify right side
    13,294.75x = 145,124,032.21
  5. Step 5: Solve for x
    x = 145,124,032.21/13,294.75
  6. Step 6: Final answer
    x = 10,915.89

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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.