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Finding the Fourth Proportional to 15,876.90, 23,825.07 and 6,521.40

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Solution

The fourth proportional to 15,876.90, 23,825.07 and 6,521.40 is: 9,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.90 : 23,825.07 = 6,521.40 : x
  2. Step 2: Convert to fraction form
    15,876.90/23,825.07 = 6,521.40/x
  3. Step 3: Cross multiply
    15,876.90x = 23,825.07 × 6,521.40
  4. Step 4: Simplify right side
    15,876.90x = 155,372,811.50
  5. Step 5: Solve for x
    x = 155,372,811.50/15,876.90
  6. Step 6: Final answer
    x = 9,786.09

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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.