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Finding the Fourth Proportional to 19,502.12, 29,361.11 and 13,386.28

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Solution

The fourth proportional to 19,502.12, 29,361.11 and 13,386.28 is: 20,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.12 : 29,361.11 = 13,386.28 : x
  2. Step 2: Convert to fraction form
    19,502.12/29,361.11 = 13,386.28/x
  3. Step 3: Cross multiply
    19,502.12x = 29,361.11 × 13,386.28
  4. Step 4: Simplify right side
    19,502.12x = 393,036,039.57
  5. Step 5: Solve for x
    x = 393,036,039.57/19,502.12
  6. Step 6: Final answer
    x = 20,153.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.