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Finding the Fourth Proportional to 14,262.50, 19,682.70 and 7,974.86

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Solution

The fourth proportional to 14,262.50, 19,682.70 and 7,974.86 is: 11,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.50 : 19,682.70 = 7,974.86 : x
  2. Step 2: Convert to fraction form
    14,262.50/19,682.70 = 7,974.86/x
  3. Step 3: Cross multiply
    14,262.50x = 19,682.70 × 7,974.86
  4. Step 4: Simplify right side
    14,262.50x = 156,966,776.92
  5. Step 5: Solve for x
    x = 156,966,776.92/14,262.50
  6. Step 6: Final answer
    x = 11,005.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.