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Finding the Fourth Proportional to 16,536.77, 22,820.08 and 9,822.21

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Solution

The fourth proportional to 16,536.77, 22,820.08 and 9,822.21 is: 13,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.77 : 22,820.08 = 9,822.21 : x
  2. Step 2: Convert to fraction form
    16,536.77/22,820.08 = 9,822.21/x
  3. Step 3: Cross multiply
    16,536.77x = 22,820.08 × 9,822.21
  4. Step 4: Simplify right side
    16,536.77x = 224,143,568.87
  5. Step 5: Solve for x
    x = 224,143,568.87/16,536.77
  6. Step 6: Final answer
    x = 13,554.26

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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.