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Finding the Fourth Proportional to 15,889.51, 23,838.32 and 9,321.49

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Solution

The fourth proportional to 15,889.51, 23,838.32 and 9,321.49 is: 13,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.51 : 23,838.32 = 9,321.49 : x
  2. Step 2: Convert to fraction form
    15,889.51/23,838.32 = 9,321.49/x
  3. Step 3: Cross multiply
    15,889.51x = 23,838.32 × 9,321.49
  4. Step 4: Simplify right side
    15,889.51x = 222,208,661.50
  5. Step 5: Solve for x
    x = 222,208,661.50/15,889.51
  6. Step 6: Final answer
    x = 13,984.61

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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.