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Finding the Fourth Proportional to 15,623.42, 23,428.94 and 6,739.44

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Solution

The fourth proportional to 15,623.42, 23,428.94 and 6,739.44 is: 10,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,623.42 : 23,428.94 = 6,739.44 : x
  2. Step 2: Convert to fraction form
    15,623.42/23,428.94 = 6,739.44/x
  3. Step 3: Cross multiply
    15,623.42x = 23,428.94 × 6,739.44
  4. Step 4: Simplify right side
    15,623.42x = 157,897,935.39
  5. Step 5: Solve for x
    x = 157,897,935.39/15,623.42
  6. Step 6: Final answer
    x = 10,106.49

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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.