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Finding the Fourth Proportional to 11,970.57, 17,931.15 and 7,025.34

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Solution

The fourth proportional to 11,970.57, 17,931.15 and 7,025.34 is: 10,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.57 : 17,931.15 = 7,025.34 : x
  2. Step 2: Convert to fraction form
    11,970.57/17,931.15 = 7,025.34/x
  3. Step 3: Cross multiply
    11,970.57x = 17,931.15 × 7,025.34
  4. Step 4: Simplify right side
    11,970.57x = 125,972,425.34
  5. Step 5: Solve for x
    x = 125,972,425.34/11,970.57
  6. Step 6: Final answer
    x = 10,523.51

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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.