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Finding the Fourth Proportional to 21,535.83, 32,302.83 and 6,744.42

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Solution

The fourth proportional to 21,535.83, 32,302.83 and 6,744.42 is: 10,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.83 : 32,302.83 = 6,744.42 : x
  2. Step 2: Convert to fraction form
    21,535.83/32,302.83 = 6,744.42/x
  3. Step 3: Cross multiply
    21,535.83x = 32,302.83 × 6,744.42
  4. Step 4: Simplify right side
    21,535.83x = 217,863,852.71
  5. Step 5: Solve for x
    x = 217,863,852.71/21,535.83
  6. Step 6: Final answer
    x = 10,116.34

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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.