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Finding the Fourth Proportional to 15,878.42, 21,915.07 and 9,163.11

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Solution

The fourth proportional to 15,878.42, 21,915.07 and 9,163.11 is: 12,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.42 : 21,915.07 = 9,163.11 : x
  2. Step 2: Convert to fraction form
    15,878.42/21,915.07 = 9,163.11/x
  3. Step 3: Cross multiply
    15,878.42x = 21,915.07 × 9,163.11
  4. Step 4: Simplify right side
    15,878.42x = 200,810,307.88
  5. Step 5: Solve for x
    x = 200,810,307.88/15,878.42
  6. Step 6: Final answer
    x = 12,646.74

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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.