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Finding the Fourth Proportional to 21,355.86, 32,011.50 and 7,311.75

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Solution

The fourth proportional to 21,355.86, 32,011.50 and 7,311.75 is: 10,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,355.86 : 32,011.50 = 7,311.75 : x
  2. Step 2: Convert to fraction form
    21,355.86/32,011.50 = 7,311.75/x
  3. Step 3: Cross multiply
    21,355.86x = 32,011.50 × 7,311.75
  4. Step 4: Simplify right side
    21,355.86x = 234,060,085.13
  5. Step 5: Solve for x
    x = 234,060,085.13/21,355.86
  6. Step 6: Final answer
    x = 10,959.99

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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.