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Finding the Fourth Proportional to 23,722.96, 35,590.62 and 8,932

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Solution

The fourth proportional to 23,722.96, 35,590.62 and 8,932 is: 13,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.96 : 35,590.62 = 8,932 : x
  2. Step 2: Convert to fraction form
    23,722.96/35,590.62 = 8,932/x
  3. Step 3: Cross multiply
    23,722.96x = 35,590.62 × 8,932
  4. Step 4: Simplify right side
    23,722.96x = 317,895,417.84
  5. Step 5: Solve for x
    x = 317,895,417.84/23,722.96
  6. Step 6: Final answer
    x = 13,400.33

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