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Finding the Fourth Proportional to 16,361.15, 22,580.49 and 9,986.40

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Solution

The fourth proportional to 16,361.15, 22,580.49 and 9,986.40 is: 13,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.15 : 22,580.49 = 9,986.40 : x
  2. Step 2: Convert to fraction form
    16,361.15/22,580.49 = 9,986.40/x
  3. Step 3: Cross multiply
    16,361.15x = 22,580.49 × 9,986.40
  4. Step 4: Simplify right side
    16,361.15x = 225,497,805.34
  5. Step 5: Solve for x
    x = 225,497,805.34/16,361.15
  6. Step 6: Final answer
    x = 13,782.52

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1.5x scale

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.