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Finding the Fourth Proportional to 23,648.40, 32,638.68 and 14,222.16

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Solution

The fourth proportional to 23,648.40, 32,638.68 and 14,222.16 is: 19,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.40 : 32,638.68 = 14,222.16 : x
  2. Step 2: Convert to fraction form
    23,648.40/32,638.68 = 14,222.16/x
  3. Step 3: Cross multiply
    23,648.40x = 32,638.68 × 14,222.16
  4. Step 4: Simplify right side
    23,648.40x = 464,192,529.15
  5. Step 5: Solve for x
    x = 464,192,529.15/23,648.40
  6. Step 6: Final answer
    x = 19,628.92

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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.