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Finding the Fourth Proportional to 12,945.76, 17,865.12 and 7,356.76

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Solution

The fourth proportional to 12,945.76, 17,865.12 and 7,356.76 is: 10,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.76 : 17,865.12 = 7,356.76 : x
  2. Step 2: Convert to fraction form
    12,945.76/17,865.12 = 7,356.76/x
  3. Step 3: Cross multiply
    12,945.76x = 17,865.12 × 7,356.76
  4. Step 4: Simplify right side
    12,945.76x = 131,429,400.21
  5. Step 5: Solve for x
    x = 131,429,400.21/12,945.76
  6. Step 6: Final answer
    x = 10,152.31

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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.