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Finding the Fourth Proportional to 21,933.50, 32,900.85 and 7,143.30

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Solution

The fourth proportional to 21,933.50, 32,900.85 and 7,143.30 is: 10,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933.50 : 32,900.85 = 7,143.30 : x
  2. Step 2: Convert to fraction form
    21,933.50/32,900.85 = 7,143.30/x
  3. Step 3: Cross multiply
    21,933.50x = 32,900.85 × 7,143.30
  4. Step 4: Simplify right side
    21,933.50x = 235,020,641.81
  5. Step 5: Solve for x
    x = 235,020,641.81/21,933.50
  6. Step 6: Final answer
    x = 10,715.15

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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.