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Finding the Fourth Proportional to 27,574.30, 41,361.36 and 10,938.16

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Solution

The fourth proportional to 27,574.30, 41,361.36 and 10,938.16 is: 16,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.30 : 41,361.36 = 10,938.16 : x
  2. Step 2: Convert to fraction form
    27,574.30/41,361.36 = 10,938.16/x
  3. Step 3: Cross multiply
    27,574.30x = 41,361.36 × 10,938.16
  4. Step 4: Simplify right side
    27,574.30x = 452,417,173.50
  5. Step 5: Solve for x
    x = 452,417,173.50/27,574.30
  6. Step 6: Final answer
    x = 16,407.20

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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.