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Finding the Fourth Proportional to 17,915.84, 26,885.47 and 6,822.64

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Solution

The fourth proportional to 17,915.84, 26,885.47 and 6,822.64 is: 10,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,915.84 : 26,885.47 = 6,822.64 : x
  2. Step 2: Convert to fraction form
    17,915.84/26,885.47 = 6,822.64/x
  3. Step 3: Cross multiply
    17,915.84x = 26,885.47 × 6,822.64
  4. Step 4: Simplify right side
    17,915.84x = 183,429,714.50
  5. Step 5: Solve for x
    x = 183,429,714.50/17,915.84
  6. Step 6: Final answer
    x = 10,238.41

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Why These Related Problems?

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