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Finding the Fourth Proportional to 15,393.69, 23,086.41 and 4,298.43

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Solution

The fourth proportional to 15,393.69, 23,086.41 and 4,298.43 is: 6,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,393.69 : 23,086.41 = 4,298.43 : x
  2. Step 2: Convert to fraction form
    15,393.69/23,086.41 = 4,298.43/x
  3. Step 3: Cross multiply
    15,393.69x = 23,086.41 × 4,298.43
  4. Step 4: Simplify right side
    15,393.69x = 99,235,317.34
  5. Step 5: Solve for x
    x = 99,235,317.34/15,393.69
  6. Step 6: Final answer
    x = 6,446.49

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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.