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Finding the Fourth Proportional to 12,873.28, 19,322.88 and 9,400

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Solution

The fourth proportional to 12,873.28, 19,322.88 and 9,400 is: 14,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.28 : 19,322.88 = 9,400 : x
  2. Step 2: Convert to fraction form
    12,873.28/19,322.88 = 9,400/x
  3. Step 3: Cross multiply
    12,873.28x = 19,322.88 × 9,400
  4. Step 4: Simplify right side
    12,873.28x = 181,635,072
  5. Step 5: Solve for x
    x = 181,635,072/12,873.28
  6. Step 6: Final answer
    x = 14,109.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.