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Finding the Fourth Proportional to 12,905.28, 19,357.92 and 9,017.28

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Solution

The fourth proportional to 12,905.28, 19,357.92 and 9,017.28 is: 13,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.28 : 19,357.92 = 9,017.28 : x
  2. Step 2: Convert to fraction form
    12,905.28/19,357.92 = 9,017.28/x
  3. Step 3: Cross multiply
    12,905.28x = 19,357.92 × 9,017.28
  4. Step 4: Simplify right side
    12,905.28x = 174,555,784.86
  5. Step 5: Solve for x
    x = 174,555,784.86/12,905.28
  6. Step 6: Final answer
    x = 13,525.92

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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.