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Finding the Fourth Proportional to 14,097.92, 21,144.48 and 3,709.76

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Solution

The fourth proportional to 14,097.92, 21,144.48 and 3,709.76 is: 5,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.92 : 21,144.48 = 3,709.76 : x
  2. Step 2: Convert to fraction form
    14,097.92/21,144.48 = 3,709.76/x
  3. Step 3: Cross multiply
    14,097.92x = 21,144.48 × 3,709.76
  4. Step 4: Simplify right side
    14,097.92x = 78,440,946.12
  5. Step 5: Solve for x
    x = 78,440,946.12/14,097.92
  6. Step 6: Final answer
    x = 5,564.01

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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.