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Finding the Fourth Proportional to 11,600.40, 17,315.70 and 9,967.44

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Solution

The fourth proportional to 11,600.40, 17,315.70 and 9,967.44 is: 14,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.40 : 17,315.70 = 9,967.44 : x
  2. Step 2: Convert to fraction form
    11,600.40/17,315.70 = 9,967.44/x
  3. Step 3: Cross multiply
    11,600.40x = 17,315.70 × 9,967.44
  4. Step 4: Simplify right side
    11,600.40x = 172,593,200.81
  5. Step 5: Solve for x
    x = 172,593,200.81/11,600.40
  6. Step 6: Final answer
    x = 14,878.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.