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Finding the Fourth Proportional to 17,608.47, 24,298.43 and 9,649.41

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Solution

The fourth proportional to 17,608.47, 24,298.43 and 9,649.41 is: 13,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,608.47 : 24,298.43 = 9,649.41 : x
  2. Step 2: Convert to fraction form
    17,608.47/24,298.43 = 9,649.41/x
  3. Step 3: Cross multiply
    17,608.47x = 24,298.43 × 9,649.41
  4. Step 4: Simplify right side
    17,608.47x = 234,465,465.18
  5. Step 5: Solve for x
    x = 234,465,465.18/17,608.47
  6. Step 6: Final answer
    x = 13,315.49

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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.