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Finding the Fourth Proportional to 17,627.16, 24,325.02 and 9,669.30

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Solution

The fourth proportional to 17,627.16, 24,325.02 and 9,669.30 is: 13,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.16 : 24,325.02 = 9,669.30 : x
  2. Step 2: Convert to fraction form
    17,627.16/24,325.02 = 9,669.30/x
  3. Step 3: Cross multiply
    17,627.16x = 24,325.02 × 9,669.30
  4. Step 4: Simplify right side
    17,627.16x = 235,205,915.89
  5. Step 5: Solve for x
    x = 235,205,915.89/17,627.16
  6. Step 6: Final answer
    x = 13,343.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.