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Finding the Fourth Proportional to 12,406.48, 17,097.36 and 12,178.80

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Solution

The fourth proportional to 12,406.48, 17,097.36 and 12,178.80 is: 16,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.48 : 17,097.36 = 12,178.80 : x
  2. Step 2: Convert to fraction form
    12,406.48/17,097.36 = 12,178.80/x
  3. Step 3: Cross multiply
    12,406.48x = 17,097.36 × 12,178.80
  4. Step 4: Simplify right side
    12,406.48x = 208,225,327.97
  5. Step 5: Solve for x
    x = 208,225,327.97/12,406.48
  6. Step 6: Final answer
    x = 16,783.59

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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.