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Finding the Fourth Proportional to 14,664.16, 22,000.56 and 5,428

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Solution

The fourth proportional to 14,664.16, 22,000.56 and 5,428 is: 8,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664.16 : 22,000.56 = 5,428 : x
  2. Step 2: Convert to fraction form
    14,664.16/22,000.56 = 5,428/x
  3. Step 3: Cross multiply
    14,664.16x = 22,000.56 × 5,428
  4. Step 4: Simplify right side
    14,664.16x = 119,419,039.68
  5. Step 5: Solve for x
    x = 119,419,039.68/14,664.16
  6. Step 6: Final answer
    x = 8,143.60

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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.