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Finding the Fourth Proportional to 21,814.34, 32,724.54 and 10,721.45

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Solution

The fourth proportional to 21,814.34, 32,724.54 and 10,721.45 is: 16,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.34 : 32,724.54 = 10,721.45 : x
  2. Step 2: Convert to fraction form
    21,814.34/32,724.54 = 10,721.45/x
  3. Step 3: Cross multiply
    21,814.34x = 32,724.54 × 10,721.45
  4. Step 4: Simplify right side
    21,814.34x = 350,854,601.19
  5. Step 5: Solve for x
    x = 350,854,601.19/21,814.34
  6. Step 6: Final answer
    x = 16,083.67

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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.