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Finding the Fourth Proportional to 14,361.76, 21,543 and 3,973.60

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Solution

The fourth proportional to 14,361.76, 21,543 and 3,973.60 is: 5,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.76 : 21,543 = 3,973.60 : x
  2. Step 2: Convert to fraction form
    14,361.76/21,543 = 3,973.60/x
  3. Step 3: Cross multiply
    14,361.76x = 21,543 × 3,973.60
  4. Step 4: Simplify right side
    14,361.76x = 85,603,264.80
  5. Step 5: Solve for x
    x = 85,603,264.80/14,361.76
  6. Step 6: Final answer
    x = 5,960.50

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Why These Related Problems?

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