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Finding the Fourth Proportional to 14,657.96, 21,996.17 and 7,262.84

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Solution

The fourth proportional to 14,657.96, 21,996.17 and 7,262.84 is: 10,898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.96 : 21,996.17 = 7,262.84 : x
  2. Step 2: Convert to fraction form
    14,657.96/21,996.17 = 7,262.84/x
  3. Step 3: Cross multiply
    14,657.96x = 21,996.17 × 7,262.84
  4. Step 4: Simplify right side
    14,657.96x = 159,754,663.32
  5. Step 5: Solve for x
    x = 159,754,663.32/14,657.96
  6. Step 6: Final answer
    x = 10,898.83

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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.