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Finding the Fourth Proportional to 13,009.28, 19,484.73 and 10,078.70

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Solution

The fourth proportional to 13,009.28, 19,484.73 and 10,078.70 is: 15,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.28 : 19,484.73 = 10,078.70 : x
  2. Step 2: Convert to fraction form
    13,009.28/19,484.73 = 10,078.70/x
  3. Step 3: Cross multiply
    13,009.28x = 19,484.73 × 10,078.70
  4. Step 4: Simplify right side
    13,009.28x = 196,380,650.83
  5. Step 5: Solve for x
    x = 196,380,650.83/13,009.28
  6. Step 6: Final answer
    x = 15,095.43

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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.