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Finding the Fourth Proportional to 16,236, 24,354.96 and 5,292

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Solution

The fourth proportional to 16,236, 24,354.96 and 5,292 is: 7,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236 : 24,354.96 = 5,292 : x
  2. Step 2: Convert to fraction form
    16,236/24,354.96 = 5,292/x
  3. Step 3: Cross multiply
    16,236x = 24,354.96 × 5,292
  4. Step 4: Simplify right side
    16,236x = 128,886,448.32
  5. Step 5: Solve for x
    x = 128,886,448.32/16,236
  6. Step 6: Final answer
    x = 7,938.31

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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.