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Finding the Fourth Proportional to 23,160, 31,962.96 and 13,224

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Solution

The fourth proportional to 23,160, 31,962.96 and 13,224 is: 18,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160 : 31,962.96 = 13,224 : x
  2. Step 2: Convert to fraction form
    23,160/31,962.96 = 13,224/x
  3. Step 3: Cross multiply
    23,160x = 31,962.96 × 13,224
  4. Step 4: Simplify right side
    23,160x = 422,678,183.04
  5. Step 5: Solve for x
    x = 422,678,183.04/23,160
  6. Step 6: Final answer
    x = 18,250.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.