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Finding the Fourth Proportional to 27,222.84, 37,568.16 and 15,287.16

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Solution

The fourth proportional to 27,222.84, 37,568.16 and 15,287.16 is: 21,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.84 : 37,568.16 = 15,287.16 : x
  2. Step 2: Convert to fraction form
    27,222.84/37,568.16 = 15,287.16/x
  3. Step 3: Cross multiply
    27,222.84x = 37,568.16 × 15,287.16
  4. Step 4: Simplify right side
    27,222.84x = 574,310,472.83
  5. Step 5: Solve for x
    x = 574,310,472.83/27,222.84
  6. Step 6: Final answer
    x = 21,096.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.