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Finding the Fourth Proportional to 17,932, 26,902.32 and 5,620

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Solution

The fourth proportional to 17,932, 26,902.32 and 5,620 is: 8,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932 : 26,902.32 = 5,620 : x
  2. Step 2: Convert to fraction form
    17,932/26,902.32 = 5,620/x
  3. Step 3: Cross multiply
    17,932x = 26,902.32 × 5,620
  4. Step 4: Simplify right side
    17,932x = 151,191,038.40
  5. Step 5: Solve for x
    x = 151,191,038.40/17,932
  6. Step 6: Final answer
    x = 8,431.35

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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.