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Finding the Fourth Proportional to 21,410.70, 32,125.28 and 8,933.19

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Solution

The fourth proportional to 21,410.70, 32,125.28 and 8,933.19 is: 13,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.70 : 32,125.28 = 8,933.19 : x
  2. Step 2: Convert to fraction form
    21,410.70/32,125.28 = 8,933.19/x
  3. Step 3: Cross multiply
    21,410.70x = 32,125.28 × 8,933.19
  4. Step 4: Simplify right side
    21,410.70x = 286,981,064.91
  5. Step 5: Solve for x
    x = 286,981,064.91/21,410.70
  6. Step 6: Final answer
    x = 13,403.63

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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.