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Finding the Fourth Proportional to 13,664.16, 20,491.92 and 4,428

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Solution

The fourth proportional to 13,664.16, 20,491.92 and 4,428 is: 6,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.16 : 20,491.92 = 4,428 : x
  2. Step 2: Convert to fraction form
    13,664.16/20,491.92 = 4,428/x
  3. Step 3: Cross multiply
    13,664.16x = 20,491.92 × 4,428
  4. Step 4: Simplify right side
    13,664.16x = 90,738,221.76
  5. Step 5: Solve for x
    x = 90,738,221.76/13,664.16
  6. Step 6: Final answer
    x = 6,640.60

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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.