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Finding the Fourth Proportional to 21,237.86, 31,856.72 and 6,446.77

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Solution

The fourth proportional to 21,237.86, 31,856.72 and 6,446.77 is: 9,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.86 : 31,856.72 = 6,446.77 : x
  2. Step 2: Convert to fraction form
    21,237.86/31,856.72 = 6,446.77/x
  3. Step 3: Cross multiply
    21,237.86x = 31,856.72 × 6,446.77
  4. Step 4: Simplify right side
    21,237.86x = 205,372,834.92
  5. Step 5: Solve for x
    x = 205,372,834.92/21,237.86
  6. Step 6: Final answer
    x = 9,670.13

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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.