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Finding the Fourth Proportional to 38,664, 57,984.48 and 14,967.36

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Solution

The fourth proportional to 38,664, 57,984.48 and 14,967.36 is: 22,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,664 : 57,984.48 = 14,967.36 : x
  2. Step 2: Convert to fraction form
    38,664/57,984.48 = 14,967.36/x
  3. Step 3: Cross multiply
    38,664x = 57,984.48 × 14,967.36
  4. Step 4: Simplify right side
    38,664x = 867,874,586.57
  5. Step 5: Solve for x
    x = 867,874,586.57/38,664
  6. Step 6: Final answer
    x = 22,446.58

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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.