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Finding the Fourth Proportional to 15,421.92, 23,133 and 5,033.70

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Solution

The fourth proportional to 15,421.92, 23,133 and 5,033.70 is: 7,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,421.92 : 23,133 = 5,033.70 : x
  2. Step 2: Convert to fraction form
    15,421.92/23,133 = 5,033.70/x
  3. Step 3: Cross multiply
    15,421.92x = 23,133 × 5,033.70
  4. Step 4: Simplify right side
    15,421.92x = 116,444,582.10
  5. Step 5: Solve for x
    x = 116,444,582.10/15,421.92
  6. Step 6: Final answer
    x = 7,550.59

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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.