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Finding the Fourth Proportional to 15,084.90, 20,816.37 and 8,370

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Solution

The fourth proportional to 15,084.90, 20,816.37 and 8,370 is: 11,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.90 : 20,816.37 = 8,370 : x
  2. Step 2: Convert to fraction form
    15,084.90/20,816.37 = 8,370/x
  3. Step 3: Cross multiply
    15,084.90x = 20,816.37 × 8,370
  4. Step 4: Simplify right side
    15,084.90x = 174,233,016.90
  5. Step 5: Solve for x
    x = 174,233,016.90/15,084.90
  6. Step 6: Final answer
    x = 11,550.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.