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Finding the Fourth Proportional to 15,784, 23,676.18 and 4,096.51

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Solution

The fourth proportional to 15,784, 23,676.18 and 4,096.51 is: 6,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784 : 23,676.18 = 4,096.51 : x
  2. Step 2: Convert to fraction form
    15,784/23,676.18 = 4,096.51/x
  3. Step 3: Cross multiply
    15,784x = 23,676.18 × 4,096.51
  4. Step 4: Simplify right side
    15,784x = 96,989,708.13
  5. Step 5: Solve for x
    x = 96,989,708.13/15,784
  6. Step 6: Final answer
    x = 6,144.81

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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.