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Finding the Fourth Proportional to 11,204.40, 16,792.74 and 9,820.41

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Solution

The fourth proportional to 11,204.40, 16,792.74 and 9,820.41 is: 14,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.40 : 16,792.74 = 9,820.41 : x
  2. Step 2: Convert to fraction form
    11,204.40/16,792.74 = 9,820.41/x
  3. Step 3: Cross multiply
    11,204.40x = 16,792.74 × 9,820.41
  4. Step 4: Simplify right side
    11,204.40x = 164,911,591.82
  5. Step 5: Solve for x
    x = 164,911,591.82/11,204.40
  6. Step 6: Final answer
    x = 14,718.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.