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Finding the Fourth Proportional to 15,890.31, 23,838.89 and 4,796.07

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Solution

The fourth proportional to 15,890.31, 23,838.89 and 4,796.07 is: 7,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.31 : 23,838.89 = 4,796.07 : x
  2. Step 2: Convert to fraction form
    15,890.31/23,838.89 = 4,796.07/x
  3. Step 3: Cross multiply
    15,890.31x = 23,838.89 × 4,796.07
  4. Step 4: Simplify right side
    15,890.31x = 114,332,985.16
  5. Step 5: Solve for x
    x = 114,332,985.16/15,890.31
  6. Step 6: Final answer
    x = 7,195.14

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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.