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Finding the Fourth Proportional to 21,237.68, 31,856.61 and 6,446.67

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Solution

The fourth proportional to 21,237.68, 31,856.61 and 6,446.67 is: 9,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.68 : 31,856.61 = 6,446.67 : x
  2. Step 2: Convert to fraction form
    21,237.68/31,856.61 = 6,446.67/x
  3. Step 3: Cross multiply
    21,237.68x = 31,856.61 × 6,446.67
  4. Step 4: Simplify right side
    21,237.68x = 205,369,051.99
  5. Step 5: Solve for x
    x = 205,369,051.99/21,237.68
  6. Step 6: Final answer
    x = 9,670.03

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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.