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Finding the Fourth Proportional to 17,649.84, 24,356.75 and 10,576.27

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Solution

The fourth proportional to 17,649.84, 24,356.75 and 10,576.27 is: 14,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.84 : 24,356.75 = 10,576.27 : x
  2. Step 2: Convert to fraction form
    17,649.84/24,356.75 = 10,576.27/x
  3. Step 3: Cross multiply
    17,649.84x = 24,356.75 × 10,576.27
  4. Step 4: Simplify right side
    17,649.84x = 257,603,541.89
  5. Step 5: Solve for x
    x = 257,603,541.89/17,649.84
  6. Step 6: Final answer
    x = 14,595.23

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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.