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Finding the Fourth Proportional to 11,953.88, 17,915.38 and 9,967.15

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Solution

The fourth proportional to 11,953.88, 17,915.38 and 9,967.15 is: 14,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.88 : 17,915.38 = 9,967.15 : x
  2. Step 2: Convert to fraction form
    11,953.88/17,915.38 = 9,967.15/x
  3. Step 3: Cross multiply
    11,953.88x = 17,915.38 × 9,967.15
  4. Step 4: Simplify right side
    11,953.88x = 178,565,277.24
  5. Step 5: Solve for x
    x = 178,565,277.24/11,953.88
  6. Step 6: Final answer
    x = 14,937.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.