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Finding the Fourth Proportional to 10,649.88, 16,032.33 and 9,578.25

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Solution

The fourth proportional to 10,649.88, 16,032.33 and 9,578.25 is: 14,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.88 : 16,032.33 = 9,578.25 : x
  2. Step 2: Convert to fraction form
    10,649.88/16,032.33 = 9,578.25/x
  3. Step 3: Cross multiply
    10,649.88x = 16,032.33 × 9,578.25
  4. Step 4: Simplify right side
    10,649.88x = 153,561,664.82
  5. Step 5: Solve for x
    x = 153,561,664.82/10,649.88
  6. Step 6: Final answer
    x = 14,419.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.