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Finding the Fourth Proportional to 16,497.84, 22,755.60 and 10,206.48

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Solution

The fourth proportional to 16,497.84, 22,755.60 and 10,206.48 is: 14,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.84 : 22,755.60 = 10,206.48 : x
  2. Step 2: Convert to fraction form
    16,497.84/22,755.60 = 10,206.48/x
  3. Step 3: Cross multiply
    16,497.84x = 22,755.60 × 10,206.48
  4. Step 4: Simplify right side
    16,497.84x = 232,254,576.29
  5. Step 5: Solve for x
    x = 232,254,576.29/16,497.84
  6. Step 6: Final answer
    x = 14,077.88

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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.