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Finding the Fourth Proportional to 27,020.64, 40,532.64 and 11,433

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Solution

The fourth proportional to 27,020.64, 40,532.64 and 11,433 is: 17,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020.64 : 40,532.64 = 11,433 : x
  2. Step 2: Convert to fraction form
    27,020.64/40,532.64 = 11,433/x
  3. Step 3: Cross multiply
    27,020.64x = 40,532.64 × 11,433
  4. Step 4: Simplify right side
    27,020.64x = 463,409,673.12
  5. Step 5: Solve for x
    x = 463,409,673.12/27,020.64
  6. Step 6: Final answer
    x = 17,150.21

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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.