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Finding the Fourth Proportional to 16,508.96, 22,779.96 and 9,434

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Solution

The fourth proportional to 16,508.96, 22,779.96 and 9,434 is: 13,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.96 : 22,779.96 = 9,434 : x
  2. Step 2: Convert to fraction form
    16,508.96/22,779.96 = 9,434/x
  3. Step 3: Cross multiply
    16,508.96x = 22,779.96 × 9,434
  4. Step 4: Simplify right side
    16,508.96x = 214,906,142.64
  5. Step 5: Solve for x
    x = 214,906,142.64/16,508.96
  6. Step 6: Final answer
    x = 13,017.55

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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.