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Finding the Fourth Proportional to 12,881.97, 19,322.01 and 4,114.53

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Solution

The fourth proportional to 12,881.97, 19,322.01 and 4,114.53 is: 6,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.97 : 19,322.01 = 4,114.53 : x
  2. Step 2: Convert to fraction form
    12,881.97/19,322.01 = 4,114.53/x
  3. Step 3: Cross multiply
    12,881.97x = 19,322.01 × 4,114.53
  4. Step 4: Simplify right side
    12,881.97x = 79,500,989.81
  5. Step 5: Solve for x
    x = 79,500,989.81/12,881.97
  6. Step 6: Final answer
    x = 6,171.49

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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.