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Finding the Fourth Proportional to 16,546, 22,852.98 and 10,947.28

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Solution

The fourth proportional to 16,546, 22,852.98 and 10,947.28 is: 15,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546 : 22,852.98 = 10,947.28 : x
  2. Step 2: Convert to fraction form
    16,546/22,852.98 = 10,947.28/x
  3. Step 3: Cross multiply
    16,546x = 22,852.98 × 10,947.28
  4. Step 4: Simplify right side
    16,546x = 250,177,970.89
  5. Step 5: Solve for x
    x = 250,177,970.89/16,546
  6. Step 6: Final answer
    x = 15,120.15

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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.