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Finding the Fourth Proportional to 12,947.68, 17,866.56 and 7,282

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Solution

The fourth proportional to 12,947.68, 17,866.56 and 7,282 is: 10,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.68 : 17,866.56 = 7,282 : x
  2. Step 2: Convert to fraction form
    12,947.68/17,866.56 = 7,282/x
  3. Step 3: Cross multiply
    12,947.68x = 17,866.56 × 7,282
  4. Step 4: Simplify right side
    12,947.68x = 130,104,289.92
  5. Step 5: Solve for x
    x = 130,104,289.92/12,947.68
  6. Step 6: Final answer
    x = 10,048.46

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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.