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Finding the Fourth Proportional to 16,965, 23,416.97 and 11,376

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Solution

The fourth proportional to 16,965, 23,416.97 and 11,376 is: 15,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 23,416.97 = 11,376 : x
  2. Step 2: Convert to fraction form
    16,965/23,416.97 = 11,376/x
  3. Step 3: Cross multiply
    16,965x = 23,416.97 × 11,376
  4. Step 4: Simplify right side
    16,965x = 266,391,393.84
  5. Step 5: Solve for x
    x = 266,391,393.84/16,965
  6. Step 6: Final answer
    x = 15,702.41

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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.