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Finding the Fourth Proportional to 14,292.56, 21,446.04 and 6,499.76

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Solution

The fourth proportional to 14,292.56, 21,446.04 and 6,499.76 is: 9,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.56 : 21,446.04 = 6,499.76 : x
  2. Step 2: Convert to fraction form
    14,292.56/21,446.04 = 6,499.76/x
  3. Step 3: Cross multiply
    14,292.56x = 21,446.04 × 6,499.76
  4. Step 4: Simplify right side
    14,292.56x = 139,394,112.95
  5. Step 5: Solve for x
    x = 139,394,112.95/14,292.56
  6. Step 6: Final answer
    x = 9,752.91

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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.