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Finding the Fourth Proportional to 13,648.36, 18,824.66 and 9,400.80

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Solution

The fourth proportional to 13,648.36, 18,824.66 and 9,400.80 is: 12,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.36 : 18,824.66 = 9,400.80 : x
  2. Step 2: Convert to fraction form
    13,648.36/18,824.66 = 9,400.80/x
  3. Step 3: Cross multiply
    13,648.36x = 18,824.66 × 9,400.80
  4. Step 4: Simplify right side
    13,648.36x = 176,966,863.73
  5. Step 5: Solve for x
    x = 176,966,863.73/13,648.36
  6. Step 6: Final answer
    x = 12,966.16

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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.