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Finding the Fourth Proportional to 13,648.23, 18,824.46 and 9,400.63

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Solution

The fourth proportional to 13,648.23, 18,824.46 and 9,400.63 is: 12,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.23 : 18,824.46 = 9,400.63 : x
  2. Step 2: Convert to fraction form
    13,648.23/18,824.46 = 9,400.63/x
  3. Step 3: Cross multiply
    13,648.23x = 18,824.46 × 9,400.63
  4. Step 4: Simplify right side
    13,648.23x = 176,961,783.41
  5. Step 5: Solve for x
    x = 176,961,783.41/13,648.23
  6. Step 6: Final answer
    x = 12,965.91

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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.