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Finding the Fourth Proportional to 17,606.76, 24,297.34 and 9,649.02

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Solution

The fourth proportional to 17,606.76, 24,297.34 and 9,649.02 is: 13,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.76 : 24,297.34 = 9,649.02 : x
  2. Step 2: Convert to fraction form
    17,606.76/24,297.34 = 9,649.02/x
  3. Step 3: Cross multiply
    17,606.76x = 24,297.34 × 9,649.02
  4. Step 4: Simplify right side
    17,606.76x = 234,445,519.61
  5. Step 5: Solve for x
    x = 234,445,519.61/17,606.76
  6. Step 6: Final answer
    x = 13,315.65

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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.